Well, thank you. You have stated your position coherently it is just superluminal influences that are hard to digest.How about this quote: "Of course there's no change of photons 1&4 due to manipulations on photons 2&3." See anything like that?
I have represented my position (which is standard, generally accepted physics) as best I can at this point. In fact, I have probably repeated myself too much already. I will leave it to the readers to make their own judgments and assessments of these fabulous and groundbreaking experiments. Consequently, I will bow out of this thread and thank everyone for their time and comments - especially for helping me sharpen my LaTeX from terrible to poor.
For me it is very instructive to see the QED approach.
There the solution is to expand the state that exists after the two pairs 1,2 and 3,4 are created (creation operations on the vacuum) using Bell state bases. The result shows that the 'final' state is already in there by preparation. When the entangled pairs are created, the result is inevitable and does not require any further interaction. The symmetries ensure that.
I used to find that unsatisfactory but now it seems harmonious.
But I am easily led by equations.