And who's to say a soul wouldn't attach to a copy anyway? Souls are not that well understood. Perhaps it would be fooled by the copy, or have an affinity for it, or some such. As long as we're speculating.
For example, there is the identity-is-the-instance-of-computation theory which says that it is not the information being computed (memories) that is relevant, but the computation itself.
But lets say that's uploaded as well, as part of the 'program' details. Then where are we? An 'instance' of this is not actionably different from any other, if it behaves exactly the same. Its arguable that they are the 'same person' in some sense.
It should be understand as conceded that a perfect copy of me would pass any Turing-style test applied by an external auditor that the copy is me, but that doesn't mean that I am the copy.