Then let’s turn this on another angle: dogs came to be from a predator, and an apex one, capable and willing to prey on our species, unlike all other species we managed to domesticate.
Cats are not even domesticated, for all objective parameters. Cats are still predators, both potential and active. It is not without reason domestic cats are being viewed more and more as destructive for wild species.
I can go out on a leg and speculate these two species became viewed as food wrapped in myths, with tales of obtaining special powers or some other strange purpose besides avoiding death by lack of nourishment.
All other species we managed to tame came froma what are commonly considered prey animals and it was mostly a process of reducing the animals wariness to us.
Cows are considered a representation of one of the many indu gods and have a very unique status as such but are nonetheless still a source of food through the milk they provide.
Your examples are true and valid but I will insist those are exceptions and not norm. I live in a rural area and sheep, goats and cows are part of the landscape. The animals tolerate human presence, often understand it as a source of food and safety, but are wary, suspitious and generally keep their distance. Even pigs, that are considerably more inteligent than all farm animals don’t easily mingle with humans. But any dog, even a feral one, will approach us willingly.
A very welcome bonus to my job is going to places where usually other people won’t go and often find varying degrees of feral dogs. After the initial suspition, I find myself approached by the animals, observed, sniffed and “bothered” for pets and play. I wish I could do this with other animals but other animals avoid me and do their best to keep me as far away as possible.
Your remark on the lambs. The christian/jewish/islamic carried over the tradition from previous people. Sheep were often offerings towards supernatural entities but started as a resource/food source (wool and milk and finally meat).