Now you confuse me: most "resorts" ARE private properties. In fact, I don't know any resort in this country that is owned by a government.
Okay, let me clarify. It was a pool that belonged to a homeowner's association. To use the pool, you had to be a homeowner, or an invited guest of same. And every homeowner's association has rules as to when and how many guests can use the pool, and may also require that they be accompanied by a homeowner.
In other words, if a private owner 'leased' their home to this crowd, it is unlikely that the rights to use the pool went along with the lease. A renter is not a 'guest' of the homeowner.