You seem to be arguing that death is a binary state, but I don't think this is particularly well established. There are all sorts of arguments over what constitutes definite proof of death [1]. It seems more likely to me that the process of dying is a transition, and that the exact point along that transition where someone is irreversibly gone depends on our current level of medical technology – which is exactly what cryonics is betting on.
As an analogy, when RAM loses power, the data on it doesn't vanish instantly, but rather degrades over some period of time [2]. Depending on how the information is stored, what you're willing to do without, and what you can piece together, you can declare the data in RAM "gone" at different points throughout that process.
[1] https://en.wikipedia.org/wiki/Medical_definition_of_death
[2] https://www.usenix.org/legacy/event/sec08/tech/full_papers/h...