Oh absolutely, I think that is the key thing. Personally I'd never get into a transporter such as they are portrayed in Star Trek - what comes out the other end may well be a perfect reconstruction, and think it is me, and behave to the outside world as if it is me. But would there be a continuity of conscious experience? Or am I dead and a facsimile is now in my place?

Incidentally, this is why I can't take Roko's Basilisk at all seriously - a future simulation of me is not me. Well, it;s one reason anyway.