Your very first point is mistaken, calling into doubt some of your conclusions. During Overlord, the Allied landing forces were outnumbered only during the very

Your very first point is mistaken, calling into doubt some of your conclusions. During Overlord, the Allied landing forces were outnumbered only during the very first phase of the battle, on D Day itself. This changed rapidly as they gained a foothold and more forces were brought in. Within just a few days, the forces strength of the Americans, Canadians and British in Normandy was much greater than that of the Nazis. Furthermore, they enjoyed total air superiority and better provisions. Despite this, the undermanned, underequipped Germans kept them bottled up in the Normandy beachhead area all the way into August. The Germans consistently showed themselves to be deeply impressive, much more aggressive and professional fighters despite lower resources throughout this phase of the war as well. Worth mentioning as well that German forces were poorly laid out, prepared and concentrated in Normandy right from day one. The German high command and even Hitler leaned more towards Pas de Calais as the landing area and on the day of the invasion itself, many German commanders and some forces were in fact on leave, aside from the general understaffing of the Normandy defense areas. Also, while the German generals wrote extremely self-serving memoirs after the war about how they were thwarted by Hitler's orders, the dictator did indeed increasingly override them in many catastrophic ways. There is a mountain of clear documentary evidence of this. His orders countermanding military logic were mostly written and well preserved later (unlike his much more secretive, almost entirely verbal instructions for the orchestration of Nazi genocides during the Holocaust).