I housed a coral beauty in my 40 breeder. Rose bubble tip anemones, Kenya Trees, green star polyps, misc zoa's, lots of hammers. I picked him up when he was small. Other tank fish are mated clowns, Azure damsels, pair of pajama cardinals and lawnmower blenny. Everyone got a long. Only thing I noticed is that the coral beauty slept one of the hammers on the sand. So out of everything it was a bit worse for ware around some of the branches. Other than that he didn't eat or nip at anything. It was the perfect size more or less and seemed to do well although I didn't have a lot of rock I guess.
I also had a flame angel years ago in my 100 gallon. That guy was a beast and would nip at anything LPS. Really loved my elegance so I removed him. Pretty fish and may try a pair now that I have a 210 gallon tank. Not sure but that is my experience owning a flame (bad luck with mine) and coral beauty (good luck with mine).