That just doesn't seem right to me, and seemingly goes against the character that Bane is. When Bane was defeated at the end of Knightfall, he tried to goad Jean-Paul Valley into crossing the line and ending him, but he didn't attempt to take his own life. Instead he was incarcerated, did some soul-searching and built himslef back up.
 
Given the upbriging Bane has in comics, you'd wouldn't be to wrong to think that most people would have considered or even attempted to end it all, yet with Bane it was the opposite and it spurred him on to better himself and get through the hell he was in. Him deciding to emphatically end himself, because someone got the better of him just doesn't seem right and in line wih the thick skin and strong mentality the character seemingly has and built up over time.Instead I would have thought he'd take the defeat, and then work to better/improve himself, come back stronger and ensure he gets the victory next time round. Just my opinion though.