it was always my understanding that the zoo, the roadside park, and roadside crag were non federal properties. You could ask at the gladie visitors center.
In regards to ownership of the Zoo, the Bronaugh guides states that, "It is located on private land on private land adjacent to National Forest property." Forest Service boundaries are shown on Boyd's Red River Gorge Sports map. The statement in the guide is confirmed by the map.
"Be responsible for your actions and sensitive to the concerns of other visitors and land managers. ... Your reward is the opportunity to climb in one of the most beautiful areas in this part of the country." John H. Bronaugh