[Hebrews 11:6]

Your argument makes perfect sense, although it leads me to wonder, given the German penchant for counterattacks, whether the Germans wouldn't have found a strong counterattack, smaller perhaps than their Ardennes effort, to the October push you describe. In other words, wasn't some counterattack inevitable?

[henkster]

Yes, some sort of counter attack would have been inevitable, but it would have been reactive, not proactive. With weaker forces against well supplied more mobile Americans with air support in (slightly) better weather.

Think Mortain.