My house has six cats and four people. Each person definitely has a cat that is Their Cat, with two generally-affectionate floaters.
My cat, Trouble, comes into my room each night to snuggle with me. 💕 My son's cat, Dipper, will play chase/tag with him when they're outside. One of the floaters, Link, is waiting every time I return from a late night to rub against my legs and welcome me home.