There's a scene in the animated series that exemplifies Wayne's relationship with his Batman persona.
In this scene, Bruce has been subject to seemingly infallible brainwashing techniques that, of course, fail. How, we ask? Because of Wayne's indomitable will-power and strength of purpose?
No, but because "... the voice in my head kept calling me Bruce. That isn't the name I call myself."
If for no other reason than that this seemed to me to catch the character of the modern Batman perfectly, Conroy gets my vote, too.