Yes of course I would. Telling someone what they can and cannot write is both censorship and stupid, like telling someone how to think. If someone made money off of my words or worlds, good for them. I'd probably get pissed or bitter by it but I'm an admitted hypocrite. I'm just hocking ideas, and you can't own ideas.
To deny fanfiction is to deny enjoyment of your work, and if you're going to do that what was the point of sharing it in the first place.
In conclusion the only sensible option is to let any and all fan based works develop however your fans want them to.
Edit:
It seems that everyone sees it as evil to profit with fanfiction, why? Honestly, where's the harm? Let's say you sell me a book, are you saying I don't own the book? I'm just renting it? Its goddamned silly to say: "Oh I support fanfiction, I'm not going to censor your words, just your fiscal ambitions."