I don't know either. But the Russian Fed is paying Mishin and he said lately that he isn't charging Carolina. I could understand if the Russian Fed says that they won't support the coaching of an Italian athlete in the Olympic season. Especially if this athlete could be a serious threat.
Interesting thought, though it would be a pity it he were not allowed to coach Carolina. Is there any sort of official info on this? She seems to be quite well with mishin though after she builds up her jump arsenal I don't think it will be a necessity for her.
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I think Carolina going so early will probably have a negative impact on her score though she will still do well. She definitely won't get higher PCS than Evgenia, which she may if the order was switched. It is usual for earlier skaters to get lower PCS scores than they usually get...though in Carolina's case it will be high regardless (maybe 35 instead of 37)