Comment by benlivengood

Honestly, it depends on context. From experience I know that if I wake up from a deep sleep in the middle of the night and interact with my partner (say a simple sentence or whatever) I rarely remember it in the morning. I'm pretty sure I have at least some conscious awareness while that's happening but since short term memory doesn't form the experience is lost to me except as related second-hand by my partner the next morning.

I've had a similar experience using (too much) pot, a lot of stuff happenrd that I was conscious for but I didn't form strong memories of it.

Neither of those two things bother me and I don't worry about the fact that they'll happen again, nor do I think I worried about it during the experience. So long as no meaningful experiences are lost I'm fine with having no memory of them.

The expectation is always that I'll still have significant self-identity with some future self and so far that continues to be the case. As a simulation I'd expect the same overall self-identity, and honestly my brain would probably even backfill memories of experiences my simulations had because that's how long-term memory works.

Where things would get weird is leaving a simulation of myself running for days or longer where I'd have time to worry about divergence from my true self. If I could also self-commit to not running simulations made from a model that's too old, I'd feel better every time I was simulated. I can imagine the fear of unreality could get pretty strong if simulated me didn't know that the live continuation of me would be pretty similar.

Dreams are also pretty similar to short simulations, and even if I realize I'm dreaming I don't worry about not remembering the experience later even though I don't remember a lot of my dreams. I even know, to some extent, while dreaming that the exact "me" in the dream doesn't exist and won't continue when the dream ends. Sometimes it's even a relief if I realize I'm in a bad dream.