I wouldn't go so far as to say SE doesn't like fanfiction, considering the millions of fic out there for the various entries in the Final Fantasy series and their other properties? But it might not be the sort of thing they wanted in the general forum section.

A 'fanworks' section would be a really nice addition to the forums, though, even if, like Orspeth, I have my doubts that the sort I'd be interested in reading or writing would be welcome on an official site. Even places that are okay with a little mature content tend to get cranky over even light M/M.