Response from DJI:
The AeroScope can check this information about the drone: Drone serial number, direction, speed, altitude, latitude, and longitude, return point, drone model (Mavic, Phantom, etc.).
I am sorry to tell that there is no option on the APP to prevent the AeroScope receiving this information currently.
None of this is surprising, but it gives me a formal response that I’m taking back to the ICO for a view on whether any of it is now (or may be in the future) a breach of data protection law.