I'm not sure I entirely understand or appreciate maintaining the "purity" of specific breeds of dogs (or cats for that matter) either. And especially given that specific characteristics have been designated "desirable" for certain breeds, and that's caused all sorts of problems with animals bred especially to perpetuate those traits. Such as the thin skull issue with chihuahuas and the sloping spine/falling back haunches with German Shepherds. If a cross -breed produces a much more successful animal, what's the value in in maintaining "purity" for its own sake? I don't comprehend that in animals or people. (Hah! Lucien Bouchard reference for the Taranna fellow.)
Anyway. I love my cat, Bean, more than just about any creature who's ever lived with me. And I've lived with cats and dogs and parrots and rodents and fish and all sorts of critters. It comes down to the character of the particular animal to me. I don't "own" her; she lives with me. She's a cat, yes, but every day she's at the front door waiting for me when I arrive home. When I arrive at an unexpected time, I can hear her race to the door to greet me. She wakes me every morning at approximately the same time. She's never far off between 6:30 and 6:55. (My alarm goes off at 7) So every morning the first thing the first thing I see is her darling little face and hear her purring with her lying on my chest. We spend time cuddling, and I rub her face and head, and she head-bumps my cheek and licks my chin, (okay that part is icky) and I can't imagine a world where I'll have to wake up without her to make my world a friendly place from the moment I open my eyes.
While I don't have to walk her -- so she doesn't require that kind of maintenance -- I do specifically stay home on weekends and evenings and make time to spend with her and be with her so she's not always alone. And we actually spend time interacting with each other and just plain hanging out. Granted, she's not the best company -- her conversational skills are pretty limited -- but she flourishes as a result of my taking the time to be with her.
She knows who I am. She recognises me by voice alone. She actually gets physically ill if she's away from me for too long. She has goofy facial expressions. She makes me laugh. She makes me feel wanted. The fact of my existence matters to her. The fact of her existence matters a great deal to me. She's not aloof. She's intensely interested in me. She comes when I call her. She responds to specific words that mean different things.
Of all of the animals I've had the privilege to share my home with, my little cat has been the most noteworthy. Is she "better" than a dog? All I can do is shrug my shoulders. It's a different thing. We have a fantastic relationship. That's what counts.