I had an outbreak of aiptasia in the past.
Threw in 4 peppermint shrimps, 1 month later, everything was gone.
Just takes time and patience I suppose, but I really don't see any more aiptasia.
Believe me, I did have aiptasia the size of half a fist...
The peps do tend to eat the smaller ones first, large ones later.
Though I've never actually seen them eat it, but each day I revisit the tank I notice clarity.