Alice and All-Ice theory

So even though it was not mentioned at all I think I came out with a pretty decent theory about All-Ice/Alice.
(SPOILERS FOR VLR AND ZTD. 999 TOO I GUESS)
At the end of VLR Akane tells Clover and Alice that there may be a way for them to go back to the past or a happy timeline. In ZTD we are introduced to the transporter, a machine that lets you copy and paste people back (or foward) in time.
What I believed happened is that Akane actually end up sending Alice to egypt (because you know, Akane's morals are really fucked) in order for All-Ice to exist. Alice lived the rest of her life as All-Ice there and she ended up frozen somehow.
I believe the transporter could have been in egypt at some point due to the way ancient egypt is often related to aliens and the transporter is said to be made out of alien technology.