I'm not quite sure if I would. On the one hand, I'd be flattered if someone loved, say, Rainbow Love enough to write fanfic for it and I wouldn't discourage them from doing it (which would be a tad hypocritical of me because...
I was one of them 
). However, I'm not too sure if I'd read it or not. I'd be afraid (not afraid-afraid but just slightly uneasy) of accidentally stealing someone's idea, or smacking myself and going "That's brilliant! Why didn't I think of that!?", or gritting my teeth and going "NO! That's WRONG! This character would NEVER say or do that!" and yet not having the heart to outright say as such. Or, well...my Rainbow Love MC (Orville) getting shipped with the toaster.
(But I'd still read, say, Secret Santa requested fic; this is just in general for things like ff.net, or LiveJournal communities, etc.)
(Also, yes I know there's a whole debate about whether or not VN's are games or their own thing, "game" is just used as a general term here)
Why do I feel like I just opened Pandora's Box? 