Your question is a more complicated version of "what happens if I'm non-destructively copied", and the answer to that one is that both of them are you, and so before the copying is done you should assign equal probability to "ending up as" the original or as the copy. (It should work the same as Everett branching.)

In this case, I don't fully expect the "reconstructed from writings" self to be as connected to my current subjective experience as a cryopreserved self would be. But the mere fact of there being "two selves" doesn't present an inherent problem.