Would call Ginger Baker a far better jazz versatile drummer than any of the pedestrians. Odd as Baker was and deaf as he became.
Yes Ginger was a jazz drummer in a rock band. He and Moonie were the two most innovative rock drummers of the era.
That being said, though, Ringo was the perfect drummer for The Beatles, even if he wasn’t as flashy as the others. He wrote the book on how to drum “In The Pocket”.