Flower Potts as in Goniopora? Alveopora? I hope you didn't buy that as an easy to keep coral. They are typically not suited for tank life as they are very hard to keep alive (I got one by accident so I've studied up on them quite a bit).
Leathers and zoos are easy to keep. Some of the harder corals to keep require special feeding. Sun corals, for example, need each polyp to be fed individually to survive. Each of these are separate animals and cannot rely on the colony for survival. Each of the "hard to keep" corals have their own requirements whether it is special feedings, pristine water parameters, intense lighting, high water flow, etc. I think the more "expert" a coral the less tolerant to a parameter going out of wack they are, but again each one will have their own nuance. Your best bet is to study up on the animals that you choose and make sure that you're going to be able to provide them with the special care that they require to survive.
The Xenias, Kenya Trees, Leathers, Zoos and Frogspawn that I have are all thriving. The SPS
I have some are thriving, some are just existing until I get my MH
installed (growing great but not colored up the way they should be). My sun coral is doing really well, but I hand feed it every other day, same with my goni.
Take your time and do your research. Some of the online fish stores that sell corals give you a good idea of why it would be hard or easy to keep as well as special feeding/lighting requirements. That would be a good place to go when you're wondering about a particular coral.