Great Smoky Mountains National Park is an exclusive federal jurisdiction. They handle law enforcement, fire and EMS with their own apparatus and personnel. The states and counties do not have jurisdiction. They would only respond inside the park is the NPS requests them or are covered by some sort of a cooperative agreement. Those are common for the NPS asking for help in Search and Rescue (SAR). Inside the park you won't see the state, counties or cities on the side of the road running radar for speeding, but you will see National Park Service "protection rangers" (multiple roles in LE, Fire, EMS and SAR) doing so. Protection is shorthand for the "Division of Visitor and Resource Protection," which exists in all large and medium sized parks.