In private park management, the park continues to be owned by the public agency, and all decisions about the facilities, services, and character of that park remain in public hands. The difference is in who actually does the cleaning and maintenance and operations of the park – high cost public agencies or more efficient private firms.
People love to hypothesize about the potential problems with private park operations as if there were no examples of such management to gather actual facts about performance. But such examples do exist. After years of such wild speculating (e.g. they will build a McDonalds in our park!) we finally took the state agency, legislators, and the media out to a pair of neighboring public parks in nature-loving, environmentally-sensitive Sedona — one publicly operated, and one operated by a private firm.