I really don't see this at all. You can say what you want about the villains, but Batman himself certainly has a vested interest in keeping his identity secret, and yet that doesn't seem to stop him from chatting it up with criminals, cops, whoever will listen!

He sat down, face to face, in harsh lighting, with a man he thought wanted to kill him.
These masked characters always end up talking to one another, voices and secret identities be damned. It's part of the suspension of disbelief inherent in superhero stories. And Nolan doesn't seem concerned with shying away from that, so I highly doubt he'd change that approach when it comes to two characters whose costumed interplay is so crucial to their relationship.