Clear as a bell now. Like you said, go right to the horses mouth. It is just as I had suspected...
The NPS has the authority to regulate or prohibit the use of unmanned aircraft from or on lands and waters administered by the NPS. As a result, the compendium closures required by the Policy Memorandum only apply to launching, landing, or operating unmanned aircraft from or on lands and waters administered by the NPS within the boundaries of the park. The closures do not apply to launching, landing, or operating unmanned aircraft from or on non-federally (e.g., private or state) owned lands located within the exterior boundaries of the park. The closures do not apply to the flight of unmanned aircraft in the airspace above a park if the device is launched, landed, and operated from or on lands and waters that are not administered by the NPS.