Well, in this specific context it is because the police's request is not for the neighbor to provide access to the other's Ring camera footage, it is a request

Well, in this specific context it is because the police's request is not for the neighbor to provide access to the other's Ring camera footage, it is a request to provide access to that individual's own Ring camera footage. An unfortunately side effect is that both Ring cameras, owned by two separate homeowners, may be pointing in a similar enough direction to still see whatever it is that the police wants to see. Then the whole 'agreement' process is kind of moot.