That's the basic datum for rate of individual detection. Wrt rate of coincidental detection, the basic datum is coincidental detection.
Rate of coincidental detection has a specific technical meaning. It doesn't, by itself, refer to correlation. It refers to rate of coincidental detection.
That's just incorrect. Rate of coincidental detection certainly does not refer to the correlation between individual polarization measurements of photons.
Bell test correlations
refers to the correlation between the angular difference between the polarizers and the rate of coincidental detection.
Here's what's known. The rate of individual detection doesn't vary with polarizer orientation. The rate of coincidental detection does vary with the angular difference between polarizer orientation. How can these two different experimental contexts be measuring the same underlying parameter?
Well, no, your argument isn't. No offense, but from what you've written it doesn't seem that you're all that knowledgeable about Bell tests. Is that the case?
If so, just admit it and then DrC et al. can help you learn about them. They certainly helped me. I'm still more or less quite ignorant ... but a bit less so thanks to their help.