They should definitely have an area in their to hide, otherwise it is not a major issue to keep them there.
The green is a known predator in the wild. Others are not but it is because we don't study them enough, IMO. I have heard every species in the hobby implicated in some way. But keep in mind that many are unfairly accused of things they did not do, because it is easier for us to think everything is healthy and things are killed as opposed to dying.
Also keep in mind that there are over 2000 species of brittlestars, so it is impossible to know exactly what you have.
I expect it is Ophiocoma wendtii, but that is a guess. This species, IME, is pretty passive. But that is my experience. I would assume it is innocent over guilty.