Chairman Parker prefers to be the biggest player in the arena and not compete. PMUS de-hubbed PIT for part of that reason. NYC is a difficult market and using it as a hub is not cheap and has a load of competition. IF PMAA used the "Four Corners Strategy" post-merger AA uses the "Fortress Hub Strategy" with the main fortresses being DFW and CLT.
Should also note that the old AA did not use JFK as a true hub either. For example, CLT itself, many upstate NY locations, most of the Carolinas (other than RDU) had no nonstops into JFK. Current AA management also is clearly not interested in making JFK a true hub for better or worse.
Safe Travels