Not just drummers need good time. Ask any recording engineer about guitarists doing overdubs; many "rush", not laying back and waiting for the groove, so hot to play their solo that they jump out ahead of the rhythm section. I’ve seen it time and time again in the studio.
Bluegrass musicians have the best sense of time I’ve seen or heard. Since they all create the groove---Bluegrass bands don’t have drummers---they really lock together. Some of the best music being made today, imo, is Bluegrass. Great songs, great singing, great musicianship, and no over-playing drummer to have to rein in!
I was out on a little cruise this afternoon on the Willamette River in Portland, and there just happened to be a Led Zeppelin tribute band (tribute bands are huge up here in the Northwest) playing in the lounge. Watching and listening to the band’s drummer (who was pretty darn good), I was reminded of what I so dislike about Bonham---his playing was so "literal", so un-poetic. It didn’t have any elegance, any grace. Almost rude! His bass drum triplets (one of the tricks he is known for) were played just to show he could do it, not to serve any higher purpose; they didn’t have anything to do with what anyone else was playing or singing, or to the song itself (of course, Led Zeppelin didn’t have much in the way of songs anyway). That’s the lack of musicality I’m always talking about.
To hear what musicality in a Rock ’n’ Roll drummer sounds like, listen to Earl Palmer, Jim Gordon, Levon Helm, and Roger Hawkins. The masters! Three out of four were studio musicians, one the drummer in the best band Rock ’n’ Roll has so far produced.