So, who exactly do you expect to be doing this analysis?

No idea. Particularly if all cryobiologists are so committed to discrediting cryonics that they'll ignore/distort the relevant science. I'm not sure how banning cryonicists* from the cryobiology association is a bad thing though. Personally I think organisations like the American Psychiatric Association should follow suit and ban all those with financial ties to pharmaceutical companies.

I just want to know how far cryonics needs to go in preventing information-theoretic death in order to allow people to be "brought back to life" and to what extent current cryonics can fulfil that criterion.

* This is assuming that by cryonicists you mean people who work for cryonics institutes or people who support cryonics without having an academic background in cryobiology.