Bell's theorem - for or against Hidden Variables?

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It is the exact same setup in my two papers. In the second paper I simply introduce some notation to discuss how the emitter might toggle its choice of emission configuration among the two configurations allowed under its guess.  Both the Bell inequality and the no signaling equalities can be violated in this setup, without nonlocal effects and without signaling.  Yes, as the Adenier and Khrennikov paper I cite says, both quantum mechanics and traditional local realism (without forecasts) cannot expalin the no signaling violation, unless somehow there was signaling despite the expected closure of that loophole.

I noticed that "toggling" mechanism, and supposed that made it different from the first paper. Can you explain, briefly, how you can possibly reproduce QM faithfully while also violating no-signaling, since QM does not do that? On the face of it, it sounds illogical. Apologies for not reading your papers more carefully, since I'm primarily interested in "traditional" local realism.