I stand by my answer because
1. Bruce Wayne is technically insane, but it's cool because he's rich. If he was poor, he would be in an asylum or jail.
2. There are inconsistencies from comic to comic, movie to movie, and this is a function of changing writers, producers, actors, and so forth.
3. There is such a depth of Batman material, from the movies, to the animated series, to the comics, to the graphic novels, to the stand alone cartoons. Batman is whatever the production team wanted, be it dark and brooding, serious, insane, etc.
4. There is a 9 panel Alignment chart for Batman, proving that he has been all of the alignments at some point.