is there any definitive rejection of my admittedly naive notion that if you can literally read out every single atomic position, then "Chop off the head with a guillotine and drop it into a bucket of liquid nitrogen" should, yes, just work?

Logically, it's possible that there is dynamic information not conveyed by "every single atomic position" that is lost when making a static copy. One could imagine that a recording of the positions over some amount of time would do better.

Admittedly, our current understanding of physics might already rule out this possibility without my knowing.