Depends on the distance of the fixture, type of fixture, bulb PAR, and the zoa adaptation to the light.
Either way you will need to adapt them to new light. That's the key!
If you change for the LEDs you'll still need to watch out!
There is a waste of the electric bill when you really don't need that much light, but the zoas, after proper adaptation, will be happy. A 150W MH on a 6gal. can sound overkill to many, but if you use it properly it will work, as you've seen. The problem there is the heat and that also could be the reason for bleaching, if so. You don't really need a 150WMH over that tank to keep their colors/health, but...
It's true that if you give them relatively hi PAR light for too many hours a day they could react negatively to that and bleach/die. That's not the case, right?
Of course you won't try to put a 400W, or a 1000W Mh over your little 6gal. That's overkill because of the proportions. Non sense... No need for that too. Too much heat. Way above the natural environment abilities for proper metabolism in an artificial set up.
I don't think the MH is doing it, unless it's very close to them and they didn't have time to adapt (new to the system), or they don't tolerate great PAR. Also, because there are other zoas doing well...
Some species of zoas have to really change their color (not necessarily bleach, but "morph" after a while) to be able to deal with brighter light over a period of time. Most of the shallow water zoas can adapt with caution in the long run. One can see that when the same species from same wild colony goes to the same system and they will look very different after a while when placed in different depth (close to surface/on the sand). The one on the top will show lighter color or some spots without color, while the other one will normally keep the normal uniform original vivid wild color. Some others will produce more protect pigments when close to the surface.
There is more to it and mostly is water chemistry, but I still can't figure out that part. I've tried many changes for years to figure out a way to keep some zoas without changing their natural wild colors without success. Those that change with artificial light will always do to some degree, depending on where they are collected and the light they need to adapt to.
The less you touch them, the happier they will be and reproduce...
Just my .02 of observations.
I would watch them for a while and try to kove them to another place, if they continue to change like that.
Pictures?
Good luck.
Grandis.