The self is far more complex than the simplistic positivist notion of it. And again, this only works if you assume that at the time of the mind creation, your knowledge is complete. That seems fairly ignorant considering the history of science, not to mention the inherent limitations of empirical knowledge.
The NES example is not really a good one because it’s a created object and knowledge of it is complete, therefore replicating it is possible.
Even then, assuming all of this didn’t matter- I still don’t see how the mind maintains itself in a new body. It’s not as if a human mind is a static entity-it constantly comes into contact with the world through its embodied form and this reinforces and extends this notion of identity. Assuming you could emulate it on a computer, it would seem logical that the mind would change to adapt to its new body, thus no longer being the same self.
Ultimately any “transfers” will actually just be the creation of new minds, which IMO is more interesting anyway.