This is a good take, but where does one consciousness end, and another begin?

Does my consciousness extend only to the central nervous system (and peripheral nerves and such are inputs)? Or am I my brain + all nerves? What about organs, does my consciousness include my liver? Is my liver another conscious entity? Going the other way, if I'm using a computer, does my consciousness extend to the computer? I use a computer for well over 8 hours a day, I can use vim motions more naturally than, say, move my earlobes or control my toes. Does that make it part of my consciousness?

Sadly, I don't think any answer to these questions can be achieved in our current times, or maybe ever if consciousness is somehow non-physical. So even the very reasonable claim that consciousness is an statistically defined property (like temperature) is too far fetched for our current knowledge.

My bigger argument that is if I cease living the atoms that correspond to my body no longer has consciousness.

So is your argument that whenever a session ends or I interrupt a session that consciousness ceases for the LLM and it has died?

Then how do you correlate that with a consciousness not being able to be returned one dead? You can try to make the argument that consciousness is the firing of individual nuerons in a fixed system but we have never been able to model that and some pretty popular theories tend to believe that is a by product of consciousness and not the cause of it, once again not exactly possible to argue for or against.

There's also the wrinkle that consciousness might be a property that isn't reducible to some defined subset of the system. Imagine we have a haystack in a field. I can remove one piece of hay, and what we're left with remains a haystack. But repeat that process enough times and we'll eventually have something that's not a haystack, even though there's no unambiguous point where removing one bit of hay transforms a haystack into not-a-haystack.