One of the old Warner Bros. Looney Tunes cartoons was about a cat with several owners. There are indeed such cats around, unusually unneutered ones, who are not quite strays but not quite attached to a single house, either.
In most cases they have been strays for several years, and while they like the food and affection that humans provide, they never quite cease to hear the “call of the wild,” so they wander away, either hunting or on the sexual prowl, sometimes returning to “home base,” sometimes not. These cats seldom experience enough human interaction to become truly “tame” in the real sense—unless, of course, you have them neutered. It’s amazing how many semistrays (or even a few ferals) have settled down after neutering.