If "within" their land / airspace - I'd think you would have gotten some warnings from DJI / drone.
I have flown outside of NP's and not gotten any warnings - even though many maps like om KittyHawk and others seem to cover that specific area. I have also flown near some NP's and got very distinct warnings when "entering" that airspace - specifically at St. Louis Arch. Where I took off across the street along the Mississippi River - no problem at all. As soon as I got up in air and went across the street - "Betty" started screaming I was entering restricted airspace. As I was flying my Mini at the time and winds were whipping above 50 ft - I brought it home and went on my way. Would loved to have gotten some nice out of park aerials of the Gateway Arch, but maybe next time I'm in St. Louis with my
Air2.