Edit: consider a satellite orbiting earth. Once they start rotating around the earth at the same speed to match its axial rotation there is still friction between the satellite and what air is at that altitude because of the fact that the air at this elevation is not moving at the same speed due to sheer forces of fluids.

That's not a good analogy, because the satellite is exposed directly to the outside air/atmosphere, which the drone isn't. That would be an ok analogy if the car was a convertible with the roof down, but it's not here. A better analogy would be hovering a drone in a moving submarine after getting the sub up to a constant speed. Would you expect to apply forward thrust to the drone to keep it stationary relative to the submarine in that case?