That's circular logic no?

In any case, a good counterpoint would be blackout drunk people. They are somewhat conscious, and can interact with their environment, but if you ask them after the fact when sober what happened, it would appear to them as if they were entirely unconscious.

Anesthesia proves the brain is (at least mostly) unable to access experiences that take place when it isn't recording, and that, while our mind is present in the brain, we rely on it for recall. That might be enough to draw the line for some, but obviously not everyone.

People who believe in reincarnation must have accepted this long ago, because they can't remember their past lives, or anything that happens in between.