Agreed. The general audience just needs time. People are still confused the X-movies aren't connected with the Avengers movies.
I think most people, even non comic book fans know Batman's origins. They know he's a detective and fights crime. In this Gotham Central proposed show, we wouldn't need to focus our attention on him at all. The context is with the audience going in. (I recently read GC myself, and I'm extremely bitter that Gotham could have been what this amazing book was.)