I would consider them a "reef safe" fish in general as far as the longnose & copperband go. I have never kept & don't know much about the pyramid. Both the longnose & copperband actually will pick inbetween the heads of some corals looking for food, some may mistake this for "eating" the coral when in reality they are just looking for pods and what not. With that said it may itrritate corals, I would guess they would be with zoas but you can never say with 100% certainty. Both of them are very finicky eaters and hard to keep long term, IME it's getting them to eat & keeping them interested that is the biggest challenge, Hopefully members who keep either species alive & well for extended periods of time can weigh in.....