The pink I had never did, neither did the finespotted. Actually the red coris wrasse I have in my 65 (going into my 240 when I catch him) hasn't touched the peppermint shrimp, reef hermits, turbo snails, or mythrax crabs. He still has his juvinile stipes a little though....5.5-6" now, so I cannot say as he will stay that way. The only "problem" I ever had was not being able to keep frags in the tanks with the wrasses, they always roll them around and flip them over... even larger frags with the red coris and the finespotted. The pink would roll the hermits over too, but I never saw her eat any of them.
I have always heard if the shrimp and what not are in there before you put the fairy wrasse in they will never go after them, but they might if you add the shrimp and what not after word...