That is 100% correct, none of those are photosynthetic and do not require light. Also dendrophyllias (similar to sun corals but around $40 per polyp) and some gorgonians . But they do need to be fed!
Sun corals and dendrophyllias need to be hand fed to each polyp once every 1-3 days.
I'm not totally sure, but i believe chili corals and the non-photosynthetic gorgs need zooplankton or phytoplankton like every day or every other day.
There's also the rhizophyllia that isn't photosynthetic, but they're around $400+ per polyp and extremely rare. I wouldn't be able to find one if my life depended on it!