As stated above, phosphate/nitrates out of whack brings it on for me. It is really tough to eradicate it even by bringing parameters in line once it takes hold, so I just treat it instead.
I use API erythromycin, 1 packet per 50 gallons. The skimmer will go crazy. I usually leave the skimmer on but turned down a bit with the cup off for oxygenation. I just treat once and then put the cup back on the skimmer after a few days, with the skimmer turned way down at first. No extra water changes, just on schedule.
With a light infestation I have zero side effects. I had a heavy infestation once and did have some pretty severe bleaching - yes bleaching, not RTN or STN - of Montis, Birdsnests, and the
WWC Slimeball Anacropora. It looked like light shock but it happened even in the shade. Acros were fine.
I am thinking the sudden nutrient spike or maybe toxins from the dying cyano did it. That particular time I had my skimmer off line. Some areas of the Montis did die, and I did lose my Undata altogether and had to frag my Ponape Birdsnest because the tips died and it looked bad. Everything else colored back up in a few weeks, but really worried me.
Getting nitrates and phosphates in line while dosing keeps it from coming back for me. Unless I mess up and let them get out of whack again. I have treated 4 times over the last few years, and only had the one problem.