It just isn’t worth it for the dogs. They could kill the cat, but they’d get badly cut up. Predators avoid fighting all together in most instances, and when they do fight, it’s usually over a scarce resource. Even when hunting, animals learn to minimize unnecessary injury.

Wild dogs in certain countries may choose to move in with humans or leave when they feel like it. That’s been true for most of their history. Hell, the main reason dogs in most English speaking countries don’t roam free and join humans at will is thanks to a concerted effort to eradicate them because they hunt livestock and can hurt humans. Dogs are apex predators in their own right thanks to superior social abilities over cats. Dogs mostly chose to live with us, and many have the ability to survive without us.

Other common pets like rodents and parrots can also exist in nature just fine. Parrots are exceptionally intelligent and while rodents aren’t, many are powerful enough to be a major pest to us humans. Cats are awesome, but they’re only more autonomous than other pets in the modern era. Most other pets aren’t allowed that level of freedom for their own safety and for ours.

If wild dogs or coyotes are common in your area, it might not be a good idea to even let them roam. Where I live, roaming cats have short life expectancies thanks to coyotes and cars.

I don’t think this is quite right. Cats might do something you don’t want them to do for the sole purpose of pissing you off, but I don’t think they understand stealing any better than other animals. My dog won’t steal things just to make me upset, but she will for another reason. She stole a rag from somewhere when she escaped one time, but she did it to show off to us, not to make us mad. Dogs certainly don’t like it when you take something they’re eating, and probably understand that we don’t like it either. Cats differ from other pets in that they piss you off for fun, not because they understand naughtiness or ownership better.

Many animals have an understanding of ownership and territory that’s not dissimilar to our own. If they intend to eat or use an object, they’ll protect it with violence. Animals won’t let other animals into their den most of the time, might guard food or water sources, and predators will protect their territory with violence. Modern human ownership simply passes most of the duty of protecting property to the state, while pet owners are in charge of keeping our pets from taking things we don’t want them to take through physical force. That’s all ownership is: protecting things we want the exclusive ability to use through violence.