In droneship landings of SpaceX boosters, many times in live streaming, the video has stopped because of vibration in the droneship caused by the 1st stage landing of a Falcon 9 rocket. Would it be possible to film this event with a rotorcraft drone or quadcopter controlled by satellites? I am speaking for GPS drone navigation for a GPS drone, or using an autopiloted drone using again the GPS satellite, which would give the command for quadcopter lifting from the SpaceX droneship, moving far enough away to not interrupt the landing process, and returning again to the droneship after the booster's landing. Quadcopters are mostly small and it is easier to land in a small spot.
Here is a rotorcraft drone that traveled for 2000 km, which is enough for a flight 600 km away from the launch pad of the rocket, where the droneship is stationed, and return back to the launch facility. It could serve as a flyby, but may be difficult to loiter in real time, waiting for the booster landing event.
But I am focussing more on the GPS drone control, and since is more efficient and could be less costly. They have filmed before using manned chase plane (jkavalik comment) which is expensive. Why isn't SpaceX using these kind of drones? Because it is not possible with these GPS drones, because it would cause interference or interrupt the 1st stage controlled landing, or it is something else?
My question is, could they livestream booster landing event in droneship using a drone, and if not, why?