I'm giving this a thumbs up .With Selina, there is a sense in which she's kinda a female version of him. An orphan with a tragic past who empowers herself by developing skills and carves her own path in Gotham City as an animal-themed masked prowler. Except that unlike him, she comes from a far less affluent background (well, in some versions) and carved that path for herself in the world of crime (at least initially).
They both operate in a grey area. Its just that Batman leans more towards upholding the law and Catwoman leans more towards being a criminal.
Tom King actually paints a pretty good picture of the inherent appeal they find in each other (even if the Bat and Cat stuff gets annoying after a while).
With Talia, I think its actually less to do with the 'Batman' side of things and more to do with 'Bruce Wayne'. Like him, she's the scion of a wealthy and powerful family (albeit on a global scale). She's a woman who wants to use her family's resources and her own skills and capabilities to carry out her mission and make a difference to the world as per her personal ideology, which is in some ways a variation of that of her father's, much like Bruce himself. And yes, she has a dark side, much like him.
So to sum it up - Catwoman is a somewhat darker female mirror to Batman. While Talia is kinda an extreme female version of Bruce Wayne.