This is a well known phenomenon. The cat distribution system.
Happened to my partner twice in the last ~10 years or so. The first was Zora, a black/white lady who was very chill and liked to stare at people (usually me, but yeah). Very friendly and outgoing. She was distributed to my partner at a bus stop. Anytime someone visited while we had her, she would go and greet them, since we're pretty sure that she was convinced that people only ever came to visit her to give her pets.
She played fetch, ate fries and Cheetos.... She's a great girl. She passed away a few years back and I still miss the little shithead.
Then we were distributed shadow. His nickname is manager, because he tells everyone what to do, and occasionally where to go. He's got sass when he needs it and he's our fluffy little man. When he was distributed to us, he basically showed up at our door and when we opened it, he came in and made himself at home. He's a very distinguished gentleman, and demands the freshest food, tastiest treats, and only the prescribed 82.475 pets in any one petting season. If you slow down or stop at any point before this quota has been satisfied, he will glare at you like he's about to end your life if you don't resume.
He's got a little white spot on his chest that looks like a bowtie, so he's always ready for a fancy party. He doesn't like guests though, and when anyone new shows up, he will depart quickly and won't be seen for at least 4 hours after the guest leaves.
His hobbies include windows (mostly looking through them) and trying to eat any food I may have.
