Just for some context: There's really no doubt that the 4319's are objectively better speakers than the H III's. But the thing is that I listen to a lot of "underground" music that's recorded on a tiny budget in someones garage or basement or whatever, and some of it ends up having less than stellar sound quality - to put it mildly. And the 4319's don't do those recordings any favors, they ruthlessly pick them apart and pretty much makes some of them almost unlistenable.
The H III's are simply more forgiving, and I'm starting to think that giving up the ability to just sit back and enjoy my entire music collection in the name of "accuracy", regardless of how crappy some of it may sound, just isn't worth it.