Army Group G, which faced Patch's invasion force, was quite probably the worst outfit facing the Allies in the west at the time. It only had one Panzer division and was a dumping ground for old, poor, and wounded soldiers from other fronts. Add to that the poor state of their equipment and questionable command structure populated by sub-par commanders, it's no wonder why they were routed so easily. While 7th Army did indeed kick ass, the opposition it faced in France was laughable compared to what was being faced farther north.
Patton's accomplishments at Bastogne, repositioning 6 divisions and then attacking through to relieve the beleaguered defenders, remains one of the great military maneuvers of all time, especially in terms of logistics. While he may have become a rock star over the years since his death, and as a result slightly overrated as a tactician(Metz/Lorraine), there's no way Patch should even be mentioned in the same breath as Patton. Bottom line, the Third Army traveled further, caused more casualties, and fought against much more difficult opposition than did the 7th. I also think Patton suffered due to lack of fuel and a jealous/timid commander in Bradley, otherwise his gains would have been even more impressive.
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