I love how Jaime is ABSOLUTELY TERRIFIED of Batman, while Bats is quietly amused by this and appreciates Jaime's earnestness. This is a pretty good representation of how Batman should work in the DCU, really - almost everyone's a bit afraid of him, regular crooks crap their pants at the very sight of him, but he's civil enough, if a bit stern, to everyone else. I mean, Batman's scary image is specifically to frighten criminals; it would reflect well on him if he did his best to put everyone else more or less at ease.