The best part is that most of the lore, especially Batman: The Animated Series, gets to a point in Batman’s career when everyone asks the question of why someone would rob a bank in Gotham when they know that if they approached Batman, and coincidentally Bruce Wayne, they could get the help they needed.
That’s the whole point of Batman. Granted there have been modernized adaptations that paint him out to be nothing more than a growling, punching, antihero. But nobody ever said those adaptations were canon or even good. The original Batman comics, most of the newer comics, the Animated Series, the animated spinoffs, even the Arkham video games all operate under the lore that Batman does everything within his power to help as many villains as he can, even if it means going against cops, politicians, etc. That’s what originally made him the vigilante. He went against the social norms. He did everything that a hero shouldn’t do, not in a murderous way, but in a taking-sides way. Every other hero swoops in to save the corrupt politician from the criminal. Batman swoops in to save the criminal from the corrupt politician.