In a feature story on "The Batman" with its cast, Zoë Kravitz confirmed to Entertainment Weekly that the relationship between Batman and Catwoman is unexpected for both characters since they're not the sorts of people who usually open up to others. "They have quite a strong connection pretty quickly, and I think they're both trying to ignore that," Kravitz explained. "They're both very surprised by feeling a connection with somebody because that's quite rare for them. It puts both of us out of our comfort zone."
But Catwoman challenges Batman in more ways than one, as the two represent different moral perspectives. While Bruce Wayne has been raised in the lap of luxury, missing his parents but never having to wonder where his next meal will come from, that influences him to see the world in black-and-white terms of right and wrong. Selina, meanwhile, has grown up on the rough streets of a Gotham hollowed out by the greed of its wealthy elite, forced to do whatever it takes to survive, and has a grayer moral compass. As Pattinson said, "Bruce created Batman in this very binary worldview where he [believes] there are bad guys and there are victims. Selina comes along, and he's like, 'Well, you're a thief. You're basically the same as the Penguin,' and yet... there's something in her I recognize. It's going up against his snap judgment."
Even though she falls for Batman, Selina is able to call him out for his blindness to the plight of Gotham's impoverished lower class, identifying his perspective as the product of having been raised rich and pointing out that he has a responsibility to those outside his elite circles. It's a message that not all fans took well, but one that Batman ultimately internalizes by the end of the film.
