I don't ask the cat where he goes. When I was coming in one evening a woman asked me if the cat had any food sensitivities. I told her he was on a see food diet. She feeds some of the neighborhood cats.
I'd kept a few cans of cat food in case a cat came around and got more variety until this one staked his area out. I definitely don't consider him my cat. I suppose I might be more possessive if I'd paid money for some fancy breed. I was amazed that people actually sell cats.