I doubt that. It would seem that a pilot sitting in a cockpit would be a lot more trigger-happy.
Both pilots can make two types of mistake: don't recognize an enemy for what he is, or do the same thing with a civilian. If plane pilot mistakes an enemy for something else and said enemy succeeds in his efforts, the pilot will lose his place and may be his life. The drone pilot, on the other hand, will only lose the drone, which is also cheaper then a plane. But the cost of the other mistake is the same for the both of them.
So, it seems that plane pilot has actually much more reason to shoot on targets he's not sure about.