Like all pure creatures, cats are practical.

I prefer cats to people, for the most part. Most people aren't cute,
& if they are cute they rapidly outgrow it

There is a kidney-shaped fish pool outside the picture window. I cleaned it out and put in some large goldfish I bought in a bait store. The cats are always trying to catch the fish, with no success. One time the white cat leapt for a frog across the pool. The frog dove in and the cat fell in. He is trouble-prone.

And there are my cats, engaged in a ritual that goes back thousands of years, tranquilly licking themselves after the meal. Practical animals, they prefer to have others provide the food ... some of them do. There must have been a split between the cats who accepted domestication and those who did not.

The cat does not offer services. The cat offers itself.

Evidence indicates that cats were first tamed in Egypt. The Egyptians stored grain, which attracted rodents, which attracted cats. (No evidence that such a thing happened with the Mayans, though a number of wild cats are native to the area.) I don't think this is accurate. It is certainly not the whole story. Cats didn't start as mousers. Weasels and snakes and dogs are more efficient as rodent-control agents. I postulate that cats started as psychic companions, as Familiars, and have never deviated from this function.