Maybe it's the placebo effect, but I've "noticed" a difference between board revisions in how higher noise parts (timers, charge pumps, etc.) interact if their grounds are isolated, quickest path to the main ground (DC jack).
I'm not an EE, and so if I'm working with a 2-layer board, I keep all the supply traces on one layer, and typically the bottom, with a ground plane. Maybe an additional top-layer ground plane is good—I've done it a lot—but maybe it's unnecessary.
If I have to go to 4-layer, I take cues from actual EEs who know what they're doing (even though I'm probably still messing up). I have a dedicated ground plane with nothing else in it, and use it as a separation, and try to keep all other supply traces off of part layers.
Again, I'm not an EE, just a poser.