This is a direct quote from Eric Borneman regarding the initial question in this thread.
"Depends - Some Palythoa are quite colonial with variable inter-polyp connection depending on the species. Others, like Zoanthus and the putative genus Protopalythoa, only share stolons or, in some cases, are even solitary and lose any stoloniferous connection. Stolons are just a cross-linked connective matrix and do not, so far as we know, allow for any or any significant amount of nutrient transfer. Most Zoanthus species as I believe you are probably referring to, I'm afraid, will not transfer much nutrition, if any, between polyps."
Translation- Stolons, ( the connective mass between polyps ), do not transfer any nutrients, if any, to other polyps within said colony.
toaksydnes, 2 thumbs up, that was an excellent question my friend.