Bill, you talkin' to me? (In that you cite gill1109.)
1. Not sure about your mystical being? Purpose =? (Is something more needed to clarify the OP?)
2. The CHSH inequality formulation will be the same, imho: since the experimental outcomes are ±1, no matter the settings a
3. To clarify the OP (if that's your issue): Having derived the expectation E(AB) for the classical setting -- from your functions for A and B = ±1 -- what then is the related maximum value that that classical setting might yield for the CHSH inequality? That is: What a
settings yield the maximum value in the CHSH formula, and what is that maximum?
4. Is it gill1109's +2?
5. Did you mean to say "the scenario is manifestly LOCAL"???
6. So -- addressing your "What gives" -- just give me your answers to the OP -- or tell me why you can't. Especially as it seems that Bell might think you can; the given situation being wholly classical and involving no more than Bell's proposed (1964, etc.) analytical formulation.