Not sure how serious you are (and it doesn't really matter, as this is subjective, and I have no strong position on the matter), but coincidentally I happened to watch some of the Beatles Anthology documentary on Youtube last night, and was really struck by how UNswinging the Stones' performance was on "I wanna be your man", as compared to the Beatles. Nothing to base broad judgements upon, but I couldn't help noticing the stark difference with the clips played one after the other.
I was kind of serious, based on recent listens to the early Stones catalog on Abko...I think why is because of Charlie Watts, as opposed to Ringo Starr.