Remember, though, many if not most "German Soldiers" in Normandy were neither, being non-Germans drafted into service. If they had to hunker down in a fixed position and man a machine gun, with a German NCO stopping by to make sure they were doing the job, they could perform pretty well. That did not mean they liked it or could do anything more complex or daring. Operation Cobra began at the end of July, preceded by massive daylight heavy bomber strike that was like nothing ever seen before. By 3 Aug there probably were more than few "German" troops that had decided the jig was up.
Still, 27 surrendering to an unarmed shot down pilot must be a record, at least until we had Iraqis surrendering to drones in 1991.