I would say the choice can't be in Eteri's favour here.
Rusfed supports Zhenya's coaching change, including financially (and that is a lot of money, specially if you read interviews of some reasonably top skaters on how the team financing is barely enough to survive). Rusfed made a bet on Zhenya's longevity, and imho they will support her Adelina style, to not prove themselves wrong. This does not mean that she can skate bad all season and still make it to Worlds, but for example if she is clean at rusnats, and Kostornaia and Shcherbakova (on same level they currently skate) are also clean, I can clearly see Zhenya being picked over those 2 (even if Zhenya goes back to a single 3Lz across 2 programs).
So my guess here is that for the next quad, rusfed will lobby a team of Zhenya - 1 Eteri girl - 1 girl from a different coach