Dusters(especially the feathered part), do not compete against anems for the most part. It is a worm in a sheath with a corona of partical collectors. Not much there exposed that can be stung and a BTA should not have much negative effect on it, but still watch it.
To answer your question...YES. All anemones sting due to nematocysts released from their body. The power of the sting is very dependant on species, lineage, temperment, location, and tankmates. Most of the time an anem(especially BTA) sting will not be than harmful, but put it near something it dislikes, competes with, gets agitated by, or is just weak and it will sting until one or the other outcompetes its rival.