I think Robin's reply to that comment (which he left there last week) got to the heart of the issue:

No doubt you can identify particular local info that is causally effective in changing local states, and that is lost or destroyed in cryonics. The key question is the redundancy of this info with other info elsewhere. If there is lots of redundancy, then we only need one place where it is held to be preserved. Your comments here have not spoken to this key issue.

It may be that what the brain uses to store some vital information is utterly destroyed by cryonics, but there is some other feature of the arrangement of atoms in the brain, possibly some side effect that has no function in the living brain, that is sufficiently correlated with the information we care about that we can reverse-engineer what we need from it. This is the "hard drive" argument for cryonics (I got it from the Sequences, but I would suspect it didn't originate there): it's not that hard (I think, though I do not know much about this topic) to erase data from a hard drive so that the normal functionality of the hard drive can't bring it back, but it's rather difficult to erase it in a way that someone sufficiently motivated with enough funding can't get it back.

However, kalla724 did say

Distortion of the membranes and replacement of solvent irretrievably destroys information that I believe to be essential to the structure of the mind. I don't think that would ever be readable into anything but a pale copy of the original person, no matter what kind of technological advance occurs (information simply isn't there to be read, regardless of how advanced the reader may be).

This is a clear assertion that there aren't even any correlates of that information preserved, if kalla724 has already thought the correlates argument through. It's not clear to me whether or not they have.