Do cats like or dislike eye contact?
Both.
If a cat stares at you unblinking it wants to kill you or is very, very scared.
If a cat stares at you, blinks slowly a few times, then turns its head away, it’s saying it trusts you and considers you family. (You are safe enough to ignore. Being ignored by a cat is honestly their best compliment.)
Alpha theory w/r/t dogs is debunked BS. Dogs see you as the “boss” because it reliably gets them fed, and we teach them fun games. That earns us the benefit of the doubt (they’ll do what we tell them without an immediate obvious reward) and there’s a heavy dose of operant conditioning with most highly trained dogs. Plus they live very in the moment and forgive/forget very easily. But, if you violate the social contract often enough they will either run away or attack you.
Cats have a flat social hierarchy. In places where food is plentiful, they congregate into colonies, and share work like finding food for each other, raising kittens, etc. everybody coparents, everybody helps everyone else. They’re basically anarcho-communists.
Because they are both predatory and prey animals in the wild, they learn very quickly what is dangerous or unpleasant and stay the fuck away from it, so any kind of “punishment” will very quickly teach a cat to stay away from you, and that relationship can take years to repair.