It's not even that deep. Jabba is trying to wring some grand intellectual gotcha scene for his play out of how pronouns work.
The neuro-chemical process going on right now in the 3 lbs of grey matter inside my skull is "me." I call that "me" because "me" is the term we use to describe it. That's how language works.
Would another exactly, down to the tiniest detail, copy of that neuro-chemical process be me? I don't know or care. It's not a valid question. It's applying a term to something in context it was never meant to be used and trying to use the fact the term doesn't work as evidence of something.
That's why I wish we would all reject Jabba's attempts at forcing an answer to "Would another me be me" out of us because it's a trap. No answer can work in the scenario. It's not a valid question.
If you say "The other me would be me" Jabba latches onto this with his "But it wouldn't be the saaaaaaaame" fetish because you can't linguistically have two "me's" since "me" is a singular pronoun. But that's just how language works because that's the most useful way of wording the concept in 99.9999999% of cases.
If you say "The other me would be different" Jabba latches onto this by claiming the difference is the soul he's totally not arguing for.
Can't win, can't lose, can't quit the game.
Here I'm gonna make up a word. Ahhhh... Fleen. A Fleen is defined as a totally unique object, one that by definition only one of exist in the entire universe. If there are more than one, it's by definition not a fleen. Okay? Everybody on board.
*Clears throat* But what if there were... *dramatic pause* two fleens? *BADADUM! Gasps, old ladies get the vapors, children start crying, monocles fall into teacups.*
See how silly that is? I define something singularly and than ask a question in direct opposition not to meaning but to definition. It has all the intellect validity of asking what if 1 = 2 or how many legs does a dog have if you call a tail a leg. It's meaningless playing with the language.
And that's all Jabba's doing at this point in this waking nightmare of a discussion. Currently our linguistic concepts for personal consciousness and sense of self are all singular because... well at this moment and every moment in history up to his point they have been. There's no mystery just the fact that our language doesn't go out of its way to make up words and terms and linguistic constructs for things it doesn't to describe.
I'm done playing by Jabba's rules and so very much wish other people would be as well.