But why would women not like guys who like cats?
I have a theory. I like cats more than dogs because cats are independent and self-possessed. Whereas dogs are pack animals, seem to always be testing dominance order, and demand lots of maintenance.
So I can see how women who are looking for fathers would prefer dog people. Whereas women looking for friends would prefer cat people.
Unless you mean they have daddy issues and are looking for a partner that's just like their dad, no. In my experience of dating in a big city, every 30+ white American woman who has no kids, and doesn't even want kids, still goes on and on in her dating profile about how "obsessed" with dogs she is. These women only want men with dogs. It's not because they're looking for someone to be a father to her kids, it's just because that's the fad she's jumped on and decided to center her whole life around, and any man who isn't into that same fad isn't going to interest her.
It's just like women who are all into veganism, or social justice, or Trumpism, or some particular religon, or keto/paleo diets, or whatever. Americans these days all have to have some cause to rally around, and they don't want to date someone who isn't into that same cause, or can't be easily converted to adopt their cause.
Different rules for girls, though single and more than a handful of cats and people start whispering Crazy Cat Lady.
Most people I know would identify as dog people and the stats for Australian households with one but not the other are 2:1 in favour of dogs.
Disclaimer: I currently have two dogs, one cat