I always figured that the cat's ability to eliminate vermin, particularly on ships, propelled their domestication and spread. This was simply too useful to early humans.
I'm reminded of the Russian silver fox domestication experiment [1]. What's interesting about that is how quickly the species adapts characteristics making them more desirable for humans.
[1]: https://www.sciencenews.org/article/russian-foxes-tameness-d...
Vermin on ships weren't all bad. They prevented scurvy if you didn't overcook them.