The only reason we don't eat dogs or cats is because they don't taste good. Predators don't make for good eating. They have to work too hard physically for their food. It makes their meat tough.
That said there are places where dog is eaten usually as a stew because that makes it more tender.
I’m speaking as a human looking at the historical context of eating animals. Predators taste terrible because they are high effort, low reward in terms of nutritional value.
I am absolutely not advocating that we start eating pets. I would feel terrible about it too. And if I have an option, besides starving to death, I would take it.
The other reason why predators have become pets is because they had a strong additive value in terms of hunting or protection. Dogs in term protection, and hunting and cats in terms of pest control. Groups with these kind of pets tended to fair better.
Speak for yourself. I would never eat a cat or dog because to me they are pets, and I would feel terrible doing it.
Whatever they taste like is very very secondary to that.