Reasonably I think stop of consciousness is both not storing and not reacting to.
My only point is that to be conscious is tautologically to know that one is conscious. And knowledge is dependent on having (= being able to recall) a memory of something. Yes, colloquially there are instinctual forms of 'knowledge' where you get some vague sense something must be true (despite having no information to determine one way or another), but I'd suggest that's probably a misuse of the term.
https://en.wikipedia.org/wiki/Altered_level_of_consciousness Here's a better source with more levels
I've had dreams when sleeping where in the dream several minutes or even hours seemed to pass where something happens at the start of the dream and the rest of the dream is trying to deal with it, such as an alarm going off. When I wake up, I find that the thing that started the dream, such as an alarm going off, is actually happening for real and it just started a few seconds ago.
It seems then that the time experienced in a dream can be much longer than the time actually spent in the dream, and so it is possible that every dream remembered is one that occurred just before waking up.
I had some dreams when I was anesthesized once. I do no longer clearly remember them, but I do remember telling the medical people there, that I did dream something. How could I dream without consciousness?