@colossalsound
"The best analogy is camera focus. If you take a DSLR and achieve perfect focus, then slightly rotate the focus ring even by a tiny amount, the entire image immediately loses sharpness. Vinyl playback behaves in a very similar way."
This a very good analogy for the effects of azimuth adjustment. It brings everything into focus, often in a way that you had no idea could even happen.
I suppose one could say that it is "Not required with quality cartridges." But what, if any, of the goofy things we audiophiles spend our time doing is "required."
The whole point is to get our records to sound as good as they possibly can, is it not? To that end, not only is setting azimuth properly "required," it's absolutely essential.
I'm not a fan of using a fozgometer and a test record, or at least not the test records specifically made for this purpose. Instead I recommend using a well-mastered, well-pressed classical record and your ears, which are way more sensitive to changes in the sound that these tools.
Concertos are especially helpful in this regard as getting the azimuth set better will improve our ability to hear the soloist and the orchestra equally well.
colossalsound is right that when the azimuth is better set the bass improves, even increases actually. In fact, I've fixed a lack of bass on systems simply by adjusting the azimuth.
As for an increase in stylus wear as a result of adjusting azimuth, that doesn't make any sense as getting the azimuth adjusted properly aligns the stylus more accurately in the record groove, and that means the stylus will wear more evenly.