... Simon Kirke? From Bad Company? Me thinks not. Ian Paice? The "Highway Star" is knee deep in purple. Yes, he's amazing, but I don't see him with the Stones.
As far as your trivia question, I didn't see your post soon enough to get in my two cents, but yeah I think they all hung out with John Wayne.
Did you see the documentary, "Beware of Mr. Baker"? If you thought Ginger was an a-hole before you watch it, you'll know for sure he's an a-hole after you watch it.