Here is my opinion.
I have never seen a healthy reef tank without Bristle Worms. They are almost always good. There are occasions where you get a large bristle worm that can cause problems, but this rarely happens. Even some of the very large ones are harmless detritus eaters.
It is possible to get a larger than wanted population of them (unsightly), but they can easily be reduced by placing a piece of shrimp (or other type of fishy food) wrapped in some bridal veil in your tank at night. Wait a few hours and then remove the shrimp/bridal veil with the attached worms. I have never had to do this, but I know others that have. If you do have a huge population this is usually a sign that you are overfeeding your aquarium.
Bottom line is I wouldn't worry about this guy. It is usually a sign of a healthy aquarium. They eat detritus and help clean your tank. I wouldn't medicate your tank because of them (EVER), and I wouldn't worry about getting a wrasse or other type of critter to eat them.