There are no shortage of critters that will eat them like crazy, but they cannot get to them. Only a turkey baster can get to them all that well. Once you get colonies, you are dead since you cannot get them out. If you have frags, then crabs, ornamental shirmp, damsels, wrasses, etc, can really keep them in check... but eventually, the branches start to grow and they can hide better.
Those look like color morphed AEFW to me - darker. Are they clearer sometimes? You probably got them in town - there are several folks that are known carriers and none of them admit it when they sell or trade.