[MHGinTN]

You've a mistake way back at the beginning of your syllogism: There is evidence that the process of self awareness continues in those who are medicated, comatose or just sleeping. I believe that it is logically inescapable that we die if there is any interuption in self awareness. The first sentence is incorrect (an anesthetist can correct you), thus the second sentence has no merit as axiomatic to the rest of your post.

[UnChained]

"an anesthetist can correct you"

We currently lack the understanding to determine whether sentience is occuring or not by any kind of scientific observation.

There is anecdotal evidence of some individuals remembering time under anesthesia and during coma. Without understanding the mechanism of self awareness, no one can assert whether it is occuring during coma or anesthesia without making some major assumptions.