Let’s take a couple of concrete examples on this “LARPS retains the right to run the game” thing.
Mordavia. The campaign ends, I move onto something else. Then some bright spark says “hey, I want to run another Mordavia campaign, I miss it.” However, one of the basic premises of Mordavia is that it’s a one-off campaign with a descending ceiling. Running “another Mordavia” is likely to violate the concept. Moreover, if you do a piss-poor job of running it you’ll devalue the brand and the memories that people have of it. I’d be opposed, in other words, unless someone could really sell it to me.
Derek’s epic Greek game. He runs it under LARPS, then later someone else in LARPS wants to run it again or something based off it. Should he have any say in whether they can? Who gets the final say, him or LARPS?
A Vampire chronicle. Someone starts running it, then leaves the club. Here is where I can see the “we’ll continue running it” idea working the best, because it allows players to continue play in an ongoing much-loved setting. It’s independant IP, there are standards about how to run such a thing. But again, what if the person wants to take the game out of LARPS? Or doesn’t want anyone to continue running their chronicle because they don’t think anyone else can do it justice?
There’s always this tricky stuff with creative ownership, and with individual vs. communal ownership in general.