When I was thinking about the same concept, I wanted to make another leap - that everyone else is also different instances of you / me. There is actually no need to die, to “reborn”. Your consciousness can exist in multiple instances!
It's related to empathy somehow. I think we're inherently self-centered, but that we also recognize ourselves within others, and don't desire suffering for ourselves, hence we don't desire it for others.
Also I've had a few moments of something similar to deja vu in my life, except it was the realization that I was the continuation of my father's life. And I catch glimpses of this in my children (though I don't believe they're yet consciously aware of it).
I've had it a lot with friends.
Realizing a part of me is them.
For example, reflections on how one's body ages:
The experience is always personal, but predictable and shared.
My body is a tour guide.
There are all kinds of possibilities, but that barrier of Death is a clear cut-off from my perspective. What’s beyond that? I for sure could imagine annihilation, too. After all I can be knocked unconscious.
Hm, except that would require anti-consciousness to exist… On second thought, this makes me uncomfortable.