No 4s.

ASH:
Shuriken: Possible, but unlikely; there are many similar abilities, and this is not the most unique or interesting of them.
Smoke Screen: DE will never give out invisibility in any form.
Teleport: Most likely, in my opinion. It's unique and not tremendously overpowered.

ATLAS:
Landslide: Nope. It's his signature ability, and would be busted to give out.
Tectonics: Most likely. Unique function, also the weakest thing in his kit.
Petrify: Possible if not for the fact that it has a loot augment, which they will never give out.

BANSHEE:
Sonic Boom: Possible. They may tend away from this because of its augment, though, which could be really powerful considering it allows 100% armor strip in a wide area.
Sonar: Nope. Way too strong.
Silence: Most likely. Not a very strong ability, but does something unique.

BARUUK:
Elude: Lol no
Lull: Very likely; it's a decent CC ability that isn't inextricable from the rest of his kit.
Desolate Hands: Possible, but I'd guess DE is wary about giving out DR in any form, though this is one of the more likely DR abilities.

CHROMA:
Spectral Scream: Probably among the more likely; not hard dependent on his energy color mechanic, weakest of his abilities too.
Elemental Ward: Possible too, with a bit of tweaking. Unique ability with some good buffs; maybe too powerful, but who knows.
Vex Armor: Lol no

EMBER:
Fireball: Most likely.
Immolation: DR, too tied into the rest of the kit to work.
Fire Blast: Too reliant on Immolation, although possible if they buff it so that it doesn't need Immolation to work on other frames.

EQUINOX:
Metamorphosis: No
Rest & Rage: Possible? Could go either way on this; likely one half of this ability.
Pacify & Provoke: Also possible. Really 50/50 with R&R, but both are likely to be for only one half of the ability.

EXCALIBUR:
Slash Dash: Probably not? It's a little iconic for his blade and it also isn't very interesting or good.
Radial Blind: Possible. It's a good CC ability that, again, is kind of unique to Excal; so not a repeat, and also not too strong or iconic.
Radial Javelin: Complete and total trash ability. It is a likely candidate, but if it isn't buffed IMMENSELY it's going to be really disappointing.

FROST:
We already know it's Ice Wave, which sucks. Hopefully it gets a major buff or some added functionality to make it worth using.

GARA:
Shattered Lash: Eh... probably not. I highly doubt any of these abilities that scale off melee mods like Landslide or etc. will be transferred. But, not impossible.
Splinter Storm: Lol no
Spectrorage: My guess. It's not a completely useless ability, but could use some buffs when transferred. Might be nice with its energy gathering augment, though.


GARUDA:
Dread Mirror: Unlikely, but possible. Having a completely impervious shield that faces wherever you look all the time is... strong.
Blood Altar: My guess. It's healing, which is powerful, but it's the least of the evils present; healing is plentiful agnostic of frame anyway, so a bit more healing probably isn't worth slotting on the highest level builds unless it's really really easy to use like Renewal.
Bloodletting: Lol no

GAUSS:
Mach Rush: Possible. It's kind of signature to his kit, but it's also not very strong and would slot easily into a lot of other frames without breaking anything.
Kinetic Plating: It's DR, and also dependent on his passive. So, no.
Thermal Sunder: Most likely. Not inextricable from his kit, and does something quasi-unique, but I think it deserves a buff.

GRENDEL:
Feast: Lol no
Nourish: Possible. The buffs aren't insanely strong, but it would of course need to be reworked to not require consumed enemies.
Regurgitate: Not a very strong ability, and would need to be reworked. There's really no easy options in Grendel's kit.

HARROW:
Condemn: Most likely, in my opinion. It's a nice, useful CC ability with an equally nice bonus of giving you overshields.
Penance: Possible, but would need reworking. It's too reliant on Harrow's ability to build overshields as is, and wouldn't slot well into other kits.
Thurible: Lol no

HILDRYN:
Balefire: No
Pillage: Maybe. It's pretty strong, though.
Haven: Most likely, in my opinion. Hopefully in buffed form.

HYDROID:
Tempest Barrage: 50/50 with Tidal Surge. It's an okay CC ability with some nice flair and a good augment, but armor stripping may lean DE away from this one in favor of...
Tidal Surge: 50/50 with Tempest Barrage. It's a fine ability that is kind of fun to use, wouldn't be hard to translate, and isn't too overpowered. Boring, though, especially as we'll see later with Revenant.
Undertow: Almost certainly not. Anything that makes a frame invincible is probably a nono, even if in weaker form.

INAROS:
Desiccation: Probably not? It's maybe a little strong for anyone that isn't Inaros, and it's probably the only ability that Inaros uses, but it's possible.
Devour: Most likely, in my opinion. It's a not-very-effective heal that takes a while to use, but is cheap.
Sandstorm: Reasonably likely too, but it's kind of iconic of Inaros and also... uh... not very good. Any of these 3 abilities could make it in really, we'll just have to see.

IVARA:
Quiver: Absolutely not
Navigator: Almost certainly. It's the least of the 3 evils present.
Prowl: Absolutely not. It's both an invisibility ability, which will NEVER be given out, AND a loot ability.

KHORA:
Whipclaw: No. It's too strong to be given out to everyone, and it's also probably her most important ability.
Ensnare: Most likely. It's decent, cheap-enough CC that pulls enemies together. Not inextricable from her kit.
Venari: Speaking of inextricable from her kit, this ability isn't actually Venari's presence, it's just being able to command Venari. Venari herself is Khora's passive, and it's unlikely if impossible that passives will be given out.

LIMBO:
It can really only be Banish. Rift Surge and Stasis both require enemies to already be in the rift, and it can't be Cataclysm because that'd be busted. Really, there's no good choices in Limbo's kit.

LOKI:
Decoy: Ugh maybe?
Invisibility: Lol no
Switch Teleport: Also maybe? Ugh, who gives a shit.

MAG:
It's Pull.

MESA:
Ballistic Battery: It's relatively unique, and in buffed form could be valuable without being overpowered. Most likely.
Shooting Gallery: Also possible.
Shatter Shield: No

MIRAGE:
Hall of Mirrors: Lol no
Sleight of Hand: Almost certainly.
Eclipse: Lol no

NEKROS:
Soul Punch: Pretty likely, by virtue of being such a shit ability that it won't cause any problems. It'd be lame, though. They'd have to put in some real legwork to buff this ability to a usable state.
Terrify: The more interesting option. It's interesting and fun, without being too strong.
Desecrate: Nope

NEZHA:
It's Firewalker.

NIDUS:
Virulence: Lol no
Larva: Probably. It's a pretty basic CC ability, wouldn't break the game but would have a decent home in some cases.
Parasitic Link: Probably too strong and also reliant on being reworked to not require stacks.

NOVA:
Null Star: Possible, but giving out DR is unlikely.
Antimatter Drop: It's a fun, usable damage ability that isn't inextricable from her kit. Probable.
Wormhole: Also very possible. It's pretty strong, but movement speed like that isn't gamebreaking, so who knows.

NYX:
Mind Control: Probably not. It's just not very good to begin with, and even then, it's probably too iconic of her kit to be given out.
Psychic Bolts: Most likely. It's not very good on Nyx, but would have a very valuable place in some other builds, and isn't TOO gamebreakingly busted.
Chaos: Ehh, possible but unlikely. Same deal of being just a little too iconic for Nyx; Psychic Bolts is just too conveniently 'not-very-Nyxish' for anything else in her kit to get traded.

OBERON:
Smite: Maybe. It'd be very strong thanks to its damage buff augment, possibly too strong to give out.
Hallowed Ground: Also maybe. Hopefully it would be buffed.
Renewal: Lol no

OCTAVIA:
It's Resonator. Unlike the others, this one isn't confirmed, but it's Resonator because Mallet and Metronome would both be way too busted to give out to other frames EVER. Resonator also isn't as linked to her mandachord.

PROTEA:
Grenade Fan: Possible, but the shield grenades are almost inappropriately strong to give to other frames.
Blaze Artillery: Perhaps most likely; not busted, but strong. Could be fun. A little iconic of Protea, though.
Dispensary: Probably not. DE is most likely to avoid any abilities that readily give out energy as Dispensary does.

REVENANT:
Enthrall: Most likely, no. Would be really hard to buff to be usable but not overpowered without totally overhauling the ability, and it's kind of Revenant's "thing".
Mesmer Skin: Lol no
Reave: By process of elimination, Reave would be the least harmful and least boring to give out. Hopefully it'd be buffed.

RHINO:
Charge: Most likely. The other two are just too busted to give out.
Iron Skin: No
Roar: Almost certainly no. Way too strong.

SARYN:
It's Molt.

TITANIA:
Spellbound: 50% chance imo. It's a fun little CC ability that was never very useful on Titania because of her tight energy economy, but might be valuable on others.
Tribute: No. Too powerful.
Lantern: 50% chance. It's a little weak as abilities go, though, and could use some buffs.

TRINITY:
Well of Life: Very possible, but it's so fucking whack that it might just be too weak to give out unless they SERIOUSLY buff it. Even then, so many sources of healing exist agnostic of frame that it'd be pretty redundant with how awkward it is to use.
Energy Vampire: LMAO NO
Link: The more interesting of the options to give out. I think this is more likely; less tweaking would need to be done to make it viable and unlike other sources of DR it's a little more wonky, so less scary to give out.

VALKYR:
Ripclaw: Maybe. It's... a lot of work would need to be done to make it ever worth picking, though.
Warcry: Possible, but it's really almost all that Valkyr has going for her. Giving it out to other frames would kind of suck for poor Valkyr.
Paralysis: They won't give this out because neither they nor anyone else even knows it exists, let alone what it does.

VAUBAN:
Tesla Nervos: Possible? I don't know what to say, it's just not very impactful and so is an easy choice to give out.
Minelayer: Probably a little too complex and wonky to give out.
Photon Strike: Maybe more likely. It's his most interesting ability, but would need to be buffed. Giving out Photon Strike would make sense; it's really a cool looking and simple ability, but is absolutely hindered by mere virtue of being on the frame that it is, because Vauban does not reward strength in almost any other capacity.

VOLT:
It's Shock.

WISP:
Reservoirs: LMAO NO
Wil-O-Wisp: Most likely. Invisibility is making this ability less likely to be transferred, and it's pretty unique to Wisp, but it's most likely if only because...
Breach Surge: Breach Surge is pretty busted to give out to other frames. It's a deceptively strong ability and may be too impactful to give out, but DE's aversion to invisibility might make it so.

WUKONG:
Celestial Twin: Confirmed no.
Cloud Walker: Possible. Invincibility and healing make this one questionable, let alone its extreme speed, and it's pretty damn cheap.
Defy: On the more likely side, not as generally good, but it is an invincibility state, so who knows. My guess is with Defy.

ZEPHYR:
It's Airburst.