I learned that from Fletcher! I'd played some bass on an internet jam Fletcher was mixing. He told me I was awful and I had sense to ask why (or at least what he did to fix it), and he'd used some of my playing but delayed it.
Again with Yes: Bruford (in his autobiography) lamented that Chris Squire liked slower tempos and dragging stuff out majestically, and when he meant to drag things out, nothing you did could pull him towards a faster tempo. You can hear the weightiness of this: a very heavy attack, but Squire would not rush slow notes in the least, and that's part of why Yes sounds the way it does. The bassist will not be stampeded into playing on top of the beat no matter what else is happening around him.
Another player like that? Dave Brown, bass player for early Santana. Those huge, heavy bass notes are earth-shaking, monumental, and a whole bunch of that sound is the timing relationship between where they sit, and the attack transient of the high percussion in the band.
I have a suspicion that the techno-folk who understand this, even dimly, have great power to make successful music. They're trained to hear very slight irregularities in tempo and sync, but I think that only refines the attention placed on what hits where (bass, treble, subs and so on). Effectively through voicing of instruments you determine what the timing relationship seems to be.
Did you know that on at least some rhythm boxes (I know this is true of my Tanzmaus) you can edit the attack speed of sampled sounds? There's a dedicated knob to fiddle with it. This is typically where your hats go, and I found things rarely sounded any good with the 'ticktickticktick' hammering away at full volume and attack. But if I slowed the attack of the same hi-hat (and especially off-beats) it quickly started to sound a lot better, even without any sort of swing or alteration of the straight-16ths rhythm. That's kind of like the opposite of slowing the bass guitar beats to give size and weightiness: in that case, it's slowing spikey hi-hats so the bass can be more on top of the beat and feel more forward and enveloping :)