so does disney. it's irrelevant. neither of them have any real citizens other than employees of the institution.
a church is a completely different institution to a country. countries are not decentralised. they do not advertise. they are (usually) not selling an idea. you cannot just decide to become a member of a country. the catholic church is all of those things and so are businesses. the catholic church is essentially a very entrenched business with a weak facade of being a state.