The one that comes to my mind, that is an actual, common effect, is gated reverb.
It's combination of noise gate and reverb. I don't really know the sound engineering of it beyond a summary. The noise gate part is based on amplitude (volume.) When the amplitude goes up high, like hitting snare drum, the reverb is applied, then when the amplitude drops down, the reverb is shut off. It's a famous effect from the 1980's applied on the snare drum for a big, fat, wet snare sound.
So, gated reverb is an amplitude parameter changing the reverb parameter.
I think envelope filters do the same thing, but with different output. They take amplitude as input (how hard you play) then change some other effect, like tone.
I imagine envelope filter would be the effect model for you to consider with your volume swell idea. Or, if you haven't looked at envelope filters before, check them out first. You may find something that already does what you're looking for.