Thinking about such questions before we are capable of doing such an experiment at least with small animals is like discussing how many angels can stand on the point of a pin.
Inventing a Star Trek-style teleporter would be quite something, but I
don't see how it would advance the philosophy in any way. We already know
the teleportation subjects would report 'feeling just the same' as before.
If they didn't then by definition it's not a functioning teleporter, as it
accidentally modified the subject in transit.