In my Batverse, there is no Superman, no Justice League, no super-powered crimefighters or criminals. There are criminals with technology that gives them extra abilities, but closer to the realms of possibility than usually seen in comics. In this world, the Batman as urban myth might actually work, whereas in a world filled with superhumans and aliens there's really no point in trying to pretend that a "Bat-Man" is just a rumour. The Batverse needs to be fully separated from the DC Universe.