Unless it's a pest, it will come down to water quality. Do you have any test kits/results?
When I found I couldn't keep any zoas alive, my phosphates were through the roof and I had slipped to almost nothing on doing water changes, and when I did change the water I was using tapwater.
Now I don't think I could kill zoas or star polyps if I wanted to in my tank, although for the life of me I have trouble with clove polyps. I think I've seen both zoas and green star polyps drop off of rock when they're not happy, it's their way of trying to find a better part of the ocean, they just go with the tide and take their chances.