But no form of death is instantaneous. Even playing quantum Russian Roulette, there's still a split second between the bullet firing and your death, which is more than enough time to shunt you into a certain world-line.

I think Jordan's method robustly seals this problem. It is the total absence of information-theoretic death, but no "continuity of consciousness" can be squeezed through. Whatever moral qualms can be given to the destruction of frozen people, are about clear-cut consequences, not the action itself.