Re: "Superman" or "The Superman" ?
I'd have to watch Nolan's trilogy and keep a score card for how many refer to it as The Batman but in a sense calling him "The Batman" just reinforces the image of fear and urban myth that Nolan tries to create in the films, instead of thinking him as a person the criminals think of him as a thing.
That doesn't work with Superman since he doesn't seclude himself and helps Metropolis law enforcement.
Self-contained stories part of a larger story is where its at. Not this writing for the trade nonsense. If you're going to write for the trade, don't release it in individual issues. Just release the trade.