I think that my definition of "resurrect" is not the same as their definition of "resurrect".
Like, imagine that you went out and found an actress who was willing to dress up like your dead grandmother, and who would also study videos of her, and could do a perfect impersonation. I doubt anybody would say that she was "resurrected". But this is precisely what the AI is attempting to do.
To call it a "resurrection" is an insult to her memory.