If you watch “Shine a Light” which is Marty Scorsese’s film of the Stones, it’s basically this scenario. Somehow the clintons got the stones to play some sort of a gala show for them in NY and Scorsese filmed it. You can see the stones greeting the clintons and their entourage backstage. The whole thing is so cringe worthy. I think the technical word for it is “douche chills”.
I think I remember seeing that and yeah, I had an adverse reaction to it myself!