That web they send out is a mucus net and meant to trap organic matter and particulate matter so they can pull it back in and eat.
I heard people say they cause problems with SPS but to me that is nonsense unless you had a crazy amount of them. You would have to have plague proportions for that to happen and smother the coral. That is like killing something with spit. If you have proper flow on your corals it will come off easily and cause no issues.
For those that say they had problems killing their SPS, unless they had a huge population of them covering everything they had bigger problems in the tank and needed something to take the blame for killing the coral. I have never had an issue with Vermatid snails in 28 years that is have been in the Saltwater hobby.
I understand some people don't like the look of them but to me anything that eats detritus and organic matter to help with nutrient cycling in my tank is ok with me. If you do have a lot and want to get the population under control or they really bother you, a leopard wrasse and copper band butterfly keep them in check like Eric said. They also don't like the red sea Aiptasia x or similar product. It kills them dead!