Instincts. Domestication "unwilds" animals in some ways, but many/most natural instincts remain in all domesticated animals.
For 'useful' domesticated animals, they have a desirable trait such as that one that remains following domestication (which was likely the primary human motivation for their domestication in the first place).
Predatory cats, pre-domestication, chased mice to eat and feed their young.
Domesticated cats are driven by remaining instinct, but through domestication I would argue there are some more complex layers added in as well, including 'pleasing' their owner and contributing to their mixed species 'family'.
These are both arguably traits that were selected for or cultivated through domestication, but individual cats do, in my opinion, bring their own personalities and motivations to the table.