I have a 125g reef tank. It has mostly LPS, softies (leathers, zoas, and mushrooms), RBTA, and 2 crocea clams. My scribbled rabbitfish and foxface have been perfect reef fish. So, yes in my view they are reef safe with these type of corals.
Of course, I also feed my fish 2x's a day. This may help with picking at corals, not sure, but I believe that a fish that is not hungry is more likely to not go after corals.