I don't really care for philosophical agonising over whether it is the 'same' Picard. In the real world we really have no clue why humans have consciousness in the first place, so we are ill equipped to answer how its continuity works either. But I can accept that in the Star Trek universe Vulcans have cracked the Hard Problem of Consciousness ages ago or something, and the people know how to deal with this stuff so that the continuity is maintained. There certainly seems to be a lot of other examples of consciousness transfer, and no one ever seems to question it or have existential crises. So in that regard I'm perfectly willing to accept it is 'the same Picard.'
The synth body think still bugs me though. I'm still not even sure what it means to be a synth in the Picard-timeline. Completely different sort of beings with little commonality seems to be lumped in this category. If Picard' new body is just a clone, then why not call it that? It really has nothing in common with an android like Data. Though 'positronic' joke was made in the new season, so is he actually a proper android? I think it is rather infuriating that we don't even know that, and if he is a proper android then I feel it should matter somehow.
Also, I really liked the old and fragile Picard of the first season, it was very poignant. But even if the clone would have all the same frailties (apart the brain defect) the pathos is still lost. That frailty and mortality only exists due the idiotic decision by Picard's companions to not give him a younger body.
I don't know, I feel the whole thing is super awkward, and I think I'll try just not to think about it too much and enjoy the new season.