Filefish eat mushrooms and palys?

[Reef Pilot]

I resorted to manual removal with some palys, and that seems to work. But not with mushrooms, they just shrink up inside the rock and pop out again a day or two later. I am also trying Aiptasia X on some mushrooms. They do seem to disappear again. But will they return (like the aiptasia does after a few days). What a scourge these things are (to my SPS)!...

My next step might be to remove the rock and try chisel them out (getting really desperate now)...