Are there some obvious differences in your 20g compared to the display tank (except the temperature)? Flow, lighting, age of tank, amount of life rock vs volume?
Did you use chemicals in your display tank? The first time I have treated my tank was over 3 years ago due to a cyano outbreak. At that time I didn't have a large amount of zoa frags and some also melted after buying. But the rest of them were actually growing.
Initially the light, but I ruled that out. The 20g has only been setup for a few weeks.
Chemicals? Not, not ever other than alk and calcium, things like that. I have never done one of these cure things like I see other people do.