"I’m like a dog chasing cars…I wouldn’t know what to do with one if I caught it… I just… Do things…"
It hurts a little watching her suffer like that…
Detective Comics #737
You have to admit he has something of an affection towards her, however remote. Even if it is the kind that just makes her a type of trophy of his that proves he can get to people.
I have this comic and it basically states outright that he wants/needs her, even if he doesn’t like to admit it.