I have had 2 tangs with HLLE and have tried to address the matter every which way. I have heard of, read of, listened to everything from stray voltage to Vit A deficency. From bad water quailtiy to stress from other tank mates. From Vit C defiency to lack of adequate greens...and I have also heard of the carbon theory.
I tried addressing all the nutritional aspects as well as the stray voltage. A few months ago, I had to take one of my tangs out of my main tank [for reasons unrelated to HLLE] and put him in a tiny tank that only had a PH and his favorite rock. Well, I figured the tang wouldn't fare too well in here. WRONG. HLLE started healing within a few days, and within a month it was 50% better. As soon as he returned to main tank, the HLLE returned. What was the difference between the 2 tanks? Well, carbon was being used in the main tank, not the QT. Also had a UV in the main and not the QT. The tang was also alone in the QT, but not in the main tank. It wasn't water quality cause the water in the QT came from the main tank.
Now, because I am re-vamping my main tank, my fish are in a QT with only PH and dead corals. Lets see what happens to the tang and HLLE now.