Why does it matter whether it's a copy or a complete transfer? If it walks like Jean-Luc Picard, talks like Jean-Luc Picard and is the only instance of Jean-Luc Picard currently in existence, why should we think of it as anything else than Jean-Luc Picard?
The conclusion of The Measure of a Man declared that we as mortal human beings are inadequate to determine in a conclusive fashion whether a soul exists or not. The only being currently in existence who is able to tell whether Picard is the real deal or not is Q, and he is definitely going to talk about the matter in the next season.
This series was far from the first piece of sci-fi fiction to touch upon the question of whether a copy of someone's mind could be considered a legitimate way of extending one's existence. Why should we dismiss the whole matter out of hand without any discussion, and why should we treat Picard post-season 1 as a substandard android copy if not for hatred of CBS Trek itself?
But of course. We all know that if this plot point were written by Brannon Braga in a series that had Rick Berman for an executive producer, people would accept golem!Picard as a legitimate extension of the original out of hand, and would welcome it as a deep sci-fi exploration of the concept of consciousness, souls and immortality. It's not about any sci-fi concepts regarding immortaility and survival, or whether sentient beings have souls. It's about whether the viewer thinks of CBS Trek as a worthy addition to the franchise of not, nothing else. If one thinks it's good Trek, they'll accept the premise of Picard's survival, if they think it's substandard, meaningless 2010s corporate TV, nothing will ever convince them otherwise, because for them, CBS Trek is devoid of any meaning, and its only purpose is to line the pockets of CBS's shareholders.
Bottom line is, I firmly believe that people would accept him as a surviving real Picard in ANY OTHER series and franchise but this. It's a legitimate sci-fi concept worthy of discussion but a lot of viewers wouldn't even entertain the mere thought simply because of where it appeared in this specific instance.