I teach jazz at the college level - have for over a decade. I have other jazz experience I cannot say without giving away too much. Got a kick out of your Faddis story - sounds like the Carnegie Hall Jazz Band days.

A race doesn't "do better with jazz." It depends on what music the person listens to.

Yes, a black family may have been brought up listening to jazz, but as you said, more common is rap/hip-hop. There is also more smooth jazz, Robert Glasper, Roy Hargrove, etc. But if they aren't really listening - and trying to integrate it....

I agree with your point about black musicians who influenced musical breakthroughs in the US. There is an interesting essay on this:

"Jazz and American Culture," Journal of America Folklore 103, no. 403 (1989): 6–22.