If someone else wants to do their own interactive story in the style of Cutlerine's, then there's no problem.
This other idea, where a lot of writers are working on it, could be considered something a little different. Perhaps we should call the collaborative CYOA something different? Honestly, the way I'm thinking about it, it's not really a CYOA project and more like a giant Corpse. Or am I just missing something?
This is why we need to plan out what we're doing more with this.
At any rate, anyone who has an idea for their own interactive story can go ahead and post them.