Interesting analysis, but I think it all boils down more to the fact that all stories have these kind of basic similarities in them, and it just happens that these two share more than few. Then again only Cameron knows the answer to this question, so we can speculate all we want, but never quite get anywhere and I personally sometimes find that very frustrating.
It's good that you are not hampered by such imperfections, and can carry out these tasks as to study the fine subtleties in movies. I'd like to be able to do more thinking like this, but I lack the necessary knowledge and patience to assemble all the facts.
By the way, there is an error in your first post in the end, where it says Jack instead of Jake.
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