I've seen this implemented in some way in most studios I've worked at, but it really should be properly implemented in Maya. It's very useful when adding shake to cameras, or making objects vibrate procedurally. Ideally one would retain easy access to the original clean animation curves, but then have some kind of modifier with procedural noise amplitude and frequency settings that could be animated or disabled.
This can be done manually in many different ways, but it's time consuming.
This script kind of does it, but it doesn't support animated channels, and it kind of makes the channel box very messy with all those added attributes.
https://www.highend3d.com/maya/script/dinonoiseit-for-maya
It would be great if we could have some sort of noise/shake node created for every selected channel box attribute, with amplitude and frequency attributes for each channel, accessible from either the channel box or the attribute editor (like a non linear deformer node).
In Blackmagic Fusion for instance, one can add modifiers to any attribute, which then show in the modifiers tab (screenshot attached).
Something like this would be amazing to have in Maya.
Thanks!