These stars are definitely nocturnal, which is why you don't see them with lights on with the exception of arms.
I agree that ALL should be spot fed...they may or may not help with detritus. IMO, the best at this are the Ophiocoma species stars, often sold as "black" brittlestars.
The big red serpenstar, BTW, is one of the most delicate species in the hobby and acclimation is critical. What are your water parameters?
The green brittlestars is a KNOWN PREDATOR IN THE WILD and should be avoided, though is the most common species in the trade.
Few other species are a risk but all are blamed for something. IMO the risk is very low with other species. But again, all should be spot fed and don't count on them to resolve detritus issues (which may be circulation and overfeeding).
As an aside, there is no difference between brittle and serpentstars. these are common names for the same animal, and there is no behavioral difference that can be attributed to this distinction (eg none are "safer" than others based on this).
I had started this thread on Brittlestars