Wow didn't know this existed. Solid work!
One NIT is Ice-1 refers to icing pole-vaults immediately after you cob. So about the same timing as Ice-2. Difference is that Ice-1 only aims at pole-vaults, not gargs, so for setups that don't have cobs at col 3~4, their "PPI" is technicially Ice-1 as opposed to Ice-2.
Basically just a historical thing. People first discovered Ice1 and then Ice2 and then Ice3, so the naming just followed.