@WVNed , I'll take Ronald Shimek's word over yours...
"The name "spaghetti worm" predates the reef aquarium hobby by several decades. In all cases, prior to recent usage in the reef hobby, this term refers to the worms in the family Terebellidae. The terebellids live in tubes in sediments, rocks, or debris, and do not normally leave the tubes. The only parts of the worm visible on the substrate surface are typically the white to slightly pinkish feeding tentacles elaborated from the head. The tentacles from larger worms are about the same size and dimensions as angel hair pasta, and give these animals their common name."
"Recently, in the reef aquarium hobby another type of worm has been being called a "spaghetti" worm. These are "hair worms" in the family Cirratulidae. Cirratulids have a much more uniform body than do the terebellids. Each segment looks much like the next, and while a head is present, the remainder of the worm's body is not divided into sections. There is neither a thorax nor an abdomen. Additionally, the cirratulids found in aquaria do not live in tubes but are found living free in the sediments below the surface. These are animals that may reach lengths of a couple inches and are, at most, about a sixteenth of an inch in diameter."
"Unfortunately, the cirratulids have also acquired the name of spaghetti worms. This was primarily due to some dealers who have incorrectly identified cirratulids and sold them as terebellids, and called them by the old common name of spaghetti worms. In addition to being quite dissimilar in appearance, they do quite different things in aquaria and in nature."