I think they're having enough issues with human genders, without having a Bat/Cat romance.
'Today, faced with accusations of being anti-anthropomorphic animal, DC announced that Captain Carrot would be taking over the writing the Batwoman comic.
"I'm delighted to be writing this comic. This appointment is nothing to do with me being an anthropomorphic animal, but will allow me to re-establish the safe flirty approach we've seen between Bat & Cat, since Batwoman's change."
DC also denied that the previous creative team was fired for insisting on an affair between Bat and Yankee Doodle Poodle.'