Problematic phase cancellation happens when you have your drum overheads too close to your basement ceiling, or you little combo amp sitting flat on the floor with the mic in front of it, or your vocal mic too close to the wall. That is, all the time. It absolutely is worth having some understanding if for no other reason than to waste less time "looking for the right spot" by ruling out some of the wrong ones via logic.
But it has nothing to do with what we usually call reverb. It's pretty much always the first reflections that are the big problem, and usually worse when the distance that reflection takes to the mic isn't a whole lot longer than the distance the direct sound takes. Once it's bounced around the room a few times it will no longer correlate closely enough with the direct signal (because the direct has moved on to something else, unless you're recording pure sine waves) to have a "phasing" effect.