Women as cats...

[Lisbeth]

When women fight physical its usually refered to as a ''cat fight'' or some guys including my Husband refer to our female anatomy as a pussy, maybe thats where ''women as cats'' comes from.

I think Pauline's got it.

Or maybe it's the other way around.

[Electric Wizard]

In particular, the attributes of cats that appeal to me are their small size, lack of strong smells, quietness, tendency to shed less, small appetite, cleanliness, and calm temperament.

By contrast, dogs strike me as large, smelly, loud, hairy, hungry, dirty, and jumpy."

Even though I might be hairier, I don't shed as much as women/cats

[Vincent E.S.]

"In particular, the attributes of cats that appeal to me are their small size, lack of strong smells, quietness, tendency to shed less, small appetite, cleanliness, and calm temperament.

By contrast, dogs strike me as large, smelly, loud, hairy, hungry, dirty, and jumpy."

Both sets of attributes can be applied to both dogs and cats; it just depends on the individual animal.
I've known cats that were huge, fluffy, shed constantly, smelled kinda gross, were constantly yowling for food, and very very jumpy.
I've also known dogs that were very small with little smell, were quiet, unshedding, calm, and didn't eat much.
But then there have also been animals in my life that did fit the stereotypes. That's what they are, really. Men stereotypes, women stereotypes, dog stereotypes, and cat stereotypes.

I think that humans in general are more like dogs because both humans and dogs are naturally pack animals. Also, humans and dogs are more likely to share general personality traits because dogs have specifically been bred and raised throughout the centuries alongside humans.  But these are just in general, there will always be an outlier of some kind.

[Pinkfluff]

Here is what a cat person at another website wrote about cats and dogs.

"What dog breeds are most suitable for a "cat person"?

In particular, the attributes of cats that appeal to me are their small size, lack of strong smells, quietness, tendency to shed less, small appetite, cleanliness, and calm temperament.

By contrast, dogs strike me as large, smelly, loud, hairy, hungry, dirty, and jumpy."

Can these cat/dog attributes be applied to women/men?

Many of those attributes do not apply to all members of the species. My cousin had a very calm and gentle yet huge dog and a few years ago my friend's roommate had a beast of cat. He was a very small cat. You could probably have fit him into a shoebox with room to spare, but he was more feisty and aggressive than most dogs. I have also seen some cats that are bigger than some dogs, and all cats and dogs (and humans) are hairy.

This comparison breaks down even further when attempting to apply it to people. Sure there are some individuals who seem to have much in common with a typical cat or typical dog, but note the words "some" and "typical". There are simply too many exceptions for these generalizations to have much weight.

[TheAwesomePrussia]

I like dogs okay. But at the same time, I consider myself more a cat person. Though I do often have a preference for male cats. But my boys were fixed at a young age, so they're honestly just big kittens. Rowdy, rough (they're not de-clawed), and admittedly, sometimes a little dim-witted. They can sometimes be picky about food, but honestly, if I leave it there all day, they'll eat it eventually (hunger always wins).
My girl however, she's like my baby, little calm thing, likes to be held like a baby too. She tends to just do as she pleases, but she's docile and very much likes to be held. Then there's the old bag, she's just...old and senile, and technically she's my mom's, not mine.
So really, animals have male and female characteristics and personalities just like we do.