Many of them, but not all. Harold Jones was a tasty drummer. Gregg Field was a relatively quiet Basie drummer who didn't really call attention to himself, but swung the band very well. Same with Dennis Mackrel. I prefer them all to Sonny Payne.
I liked Butch Miles with Basie for the most part too. Duffy Jackson, rest his soul, was over the top. Miles and Duffy were more in the Payne model. There's a couple others I'm forgetting. One was the the guy who played with Maynard and later Ellington and Basie in-between for a bit. Oh, Rufus Jones, that's him. Not very familiar with his Basie work. Oh, and Louis Bellson who did his own thing with the band. Liked his work on those Basie Roulette recordings from Sweden. (4 CD's worth on the Mosaic Roulette Live set!)