No issue, I'm not confronting you.
imo we're having an interesting philosophical chat about a completely hypotetical situation, and I don't think there's a right or wrong. That's why I spread some "imo" around.
I just pointed out that if you consider that "you" didn't die because you are still the person on the other side, then when copies are made (something possible in that reality), then "you" become more than one person (split you, or split personality).
It all boils down to what we consider "I", I guess. It seems I consider "I" as a continuum from birth to death, a set of continuous conscience and experiences - if I'm braindead then start from scratch today, I don't consider that individual is "me" anymore; it's just my body, now belonging to another person. The previous "I" died, and even if others see that body as "me", for "dead me" that's not the case.
You on the other hand seem to consider that "you" are what you are at this moment. So the copies (or the single rebuilt if the transporter doesn't glitch) are not "you" anyway, because as you said, you are not the same person as a second ago, sitting in your couch. So dying here and being rebuilt there makes no difference.
Just different takes on "self" conscience.