On my favorite music blog JazzWax I read that jazz sax player Sonny Rollins soloed on a few Rolling Stones songs in the eighties. I don’t know if Sonny Rollins did regularly rock and pop sessions or only occasionally.
Anyway, I had to think about how traditionally jazz players are brought in whenever a good sax solo is needed. Like for example Plas Johnson, another great jazz sax player who contributed many stirring solos to countless pop, R&B and rock and roll records. He played on records by Rod Stewart, Elton John, the Monkees, Duane Eddy, Little Richard, Gene Vincent, the Coasters and many more. Or David Sanborn who played with David Bowie, Bruce Springsteen and also the Rolling Stones.