Your right, she would. I don't care for the modern characterization of Catwoman. I think she should be far more heartless. "I'm in love with Batman.", is so dumb. I prefer the Michelle Pfiefer version. Batman should be the one with a crush. And since I'm already on a rant, Killer Croc has become a completely boring character. Too much of a mindless beast. He was best on the animated series and Brian Azzarellos run on the comic. I personally see him as a gangster ass thug. Thus the pose and attitude.
I agree with you on Killer Croc, he is more then just a beast. I think they did good job at that in the animated series, by making him tough criminal but not a mastermind or stupid beast. He definitely works on his own too much, he should have a crew of thugs that are glad to have such a tough guy leader. As far as the relationship between Batman and Catwoman goes I preferred never being sure if she likes him back relationship. I liked the idea that she likes him kind of like how Joker likes him, Batman makes her work more interesting. She can already get past any security system and guards, But Batman gives her a challenge to rise to, so it's more like a playful rivalry to her then love.