An interesting thought, but in my mind it also raises the question of the meaning behind a sequence of memories that you don't remember remembering, there's simply no reason to assume it happened at all since without memories there is no other evidence of the event.
A dying person will not revisit their final moments if they were saved as memories. Giving comfort in passing is a kindness and a dignity to both the dying and the bereaved.
It's an interesting point that rapidly becomes philosophical in a "if a tree falls in the woods" sense. I recently read a paper that suggested that sedating anaesthesia used with the promise of making a patient unaware of a procedure may actually do no such thing - instead they prevent the patient remembering the procedure afterwards. Which as a potential patient one day.. is a little terrifying, because even if I don't remember any trauma the next day, do I really want to experience it nonetheless?
Feeling of being cut alive consists not only of your perception, but also of biochemical reactions, that’s why falling from the stairs dead-drunk doesn’t feel much horrible, and when you or your relatives are in danger, you don’t feel your fingers and muscles applying enormous force on things, which would be very painful otherwise. When you’re on a table, doctors don’t usually see (afaik) any of your blood pressure, hormones, etc raise too much. No reaction is no pain, which itself is a complex of sensations and thoughts, not a single signal. This state is not conscious, but yeah it may induce philosophical thinking.
When you're taken out of a minor surgery, you're usually awake as you're wheeled from the operating theatre back to your ward. If I think though about the one time I had surgery, I remember being told to think of something relaxing, falling asleep, and then waking up back in the ward. It's really interesting to think about how there was a brief period where I was awake, yet making no memories.
True, forming memories at that time might simply be unnecessary overhead since you're not likely to turn back without significant medical help. Memories that will never be accessed are just pointless.