Sure, but then you're on the hook for what they officially do with the name, since you've sanctioned them.
Then you come to the cost of doing this while protecting yourself. Getting lawyers to draft up something appropriately restrictive is probably expensive, and still unlikely to cover all the problems you might run into, and getting the project to sign it might be hard since it's in their best interest to have a lawyer review it to make sure it doesn't give away IP, and that costs money...