Gotta disagree with this. The ultimate answer, IMO, is that in jazz it's all of the player's job to emphasize 2 & 4 rather than 1 & 3 and it's best when the stress is subtle in modern jazz. I find that if I listen to the masters that the bass lines emphasize different notes at different times according to where they are in the tune, what's going on in the melody, and what the other players are doing. That's great if you're a master. If you're a beginner or intermediate jazz player, I would also recommend laying heavy quarter notes with no rhythmic lead-ins, just solid quarter notes, on 2 & 4 because it will help the band swing better if they're also unsure about which beats to stress. As an intermediate player myself, when I played with pros, I never had to worry about the time - it just took care of itself. With many younger drummers, they haven't had much experience with swing time and your stressing 2 & 4 can make a world of difference in that case, IME.
Ultimately, what I mostly disagree with is the idea that the "time is somebody's job" because, IME, it's not. It's EVERYBODY's job.