If you eliminate that location part (e.g. like in “The Prestige”), nobody will know or care who is “copy” or “original”
I will. Or rather, if my original body gets disintegrated, I won't. Because I'm dead.
I'm saying that you're essentially believing in souls.
Nope. I'm explicitly denying the existence of a soul. My experience is bound to my physical body, and nothing else. If my physical body is disintegrated, then my existence ends, even if someone constructs a perfect copy of my body somewhere else. That will not be my physical body.