In the majority of music you’ll hear after 1960, the drummer does most of the time keeping with their snare. On 100% of Bruce Springsteen songs, time is kept entirely with the snare. I listen to a lot of The Boss; it’s a little surprising when I don’t here a consistent 1/3 or 2/4 snare keeping time.
That makes the drumming on most jazz albums pretty delightful. For example, Cannonball Adderley, “Games” (Roy McCurdy on drums):