This makes sense if you believe in a non-materialist self, like a soul. That model wouldn't be falsifiable- we can't measure it, so it can have whatever properties are convenient. You could then rule out the possibility that your soul would inhabit the copied 'you' by fiat.
Scientifically, though: of course an exact copy of you is you. If you don't believe in souls but still feel like this is not the case, that indicates your model of 'you' is incorrect.
Scientifically, though: of course an exact copy of you is you. If you don't believe in souls but still feel like this is not the case, that indicates your model of 'you' is incorrect.