I was watching a documentary and heard this claim get thrown in. They didn't qualify in what metric they were qualifying this claim, but is there any truth to this assertion?
The Bulge was the greatest single land battle the US Army ever participated in. It was not a defeat, however. The American units in the center were pushed back significantly and a large German salient developed, but the Germans were never in serious reach of their overall goals (Seize Antwerp). The German thrust lost momentum due to a combination of poor operational planning, the denial of communications routes in the center of the Salient, and the brilliant 90 degree turns of the XII (Advancing South-North) and the VII corps (Advancing North-South) at either end of the Salient.
It ended in a German operational failure and largely broke the Panzerwaffe's back, ruining what few intact armored forces remained in the West. Furthermore, it actually resulted in disproportionate casualties among what few veteran German divisions remained.
Certainly not; although it was the second deadliest battle in American history, and saw some defeats such as the Eiffel Plateau and St. Vith, the campaign as a whole was a great American and Allied victory. Really from the outset it was a victory, as 6th Panzer Army was stymied in it's efforts to push through the Losheim Gap, thus leading to the offensive being redirected to 5th Panzer Army's front, in turn diverting the Germans away from their main objective, Antwerp. The initial delays imposed by the conditions and American resistance hampered the German advance, ultimately leading to defeat.
By contrast, their are plenty of devastating defeats in American history one could look at; Kasserine Pass and Bataan for example.
One could argue that one successful part (for the Germans) during Bulge was Operation Bodenplatte; a raid that was planned in secret. Bodenplatte did manage to destroy 290 Allied aircraft and damage 180 more. Howevee the Luftwaffe paid heavily, losing 234 pilots in that one day.
So even in the context of the Luftwaffe, Bulge was a extremely costly and an operational failure for Germany. With regards to the Luftwaffe, Bodenplatte would mark the steep decline that was already beginning to materialize by 1943 due to pilot attition. After Bodenplatte despite the increase of fighter and plane production for the Luftwaffe, the Luftwaffe would have a shortage of trained pilots.
In fact so costly was Bodenplatte that the Luftwaffe's effectiveness was rendered moot. After Bodenplatte the Luftwaffe lost any ability to contest air Superiority entirely.