Yes, the smaller pseudocorynacis are harmless non-photosynthetic filter feeders, living off of any particulates and possibly
pods they may capture. I've got a few of the small ones in my reef tank.
As I understand it pseudocorynactis are type of corallimorph (related more to mushroom 'corals' than anemone's though they are very anemone-like ).
The larger one's (~6" in diameter) are indeed the fish-eating type as Mr. X indicated. In fact they can pose a serious threat to anything in the tank that comes in contact with them (fish, snails, crabs, urchins, corals, and probably the human hand). They're not as transparent as the smaller harmless ones.
I have one of the larger pseudocorynactis in an isolated tank. Completely non-photosynthetic, I feed it two thawed silverside fish every week. This is the type you don't want in your tank: