Lehr's experiences at St Lo offer some insight as to the effectiveness of airpower if used at saturation levels...
On July 2, Panzer Lehr was ordered to pull out of Tilly-sur-Seules and head west to provide support to the divisions resisting the American advance near Saint-Lo. The area around Saint-Lo consists of small fields with high ancient hedgerows and sunken lanes, known as bocage. The bocage made it extremely difficult for armor to maneuver and provided superb defensive positions to the infantry on either side of the battle, but is also gave opportunities to hide armour from air attack. On reaching this location, the division found itself up against the U.S. 83rd Infantry Division. After several holding battles, Panzer Lehr attacked towards Pont-Hebert, which it captured and held against several American counter-attacks.
On July 11, Panzer Lehr attacked towards the village of Le Desert, deep in the bocage. M10 Tank destroyers and Allied air attacks destroyed 20 tanks; the division's remaining tanks withdrew over the Vire Canal to relative safety.
Lehr had already suffered pretty heavily but from this point, in particular, the division began to fall apart as rear echelons of the division had to be thrown into the fray. Air powe became a deciding factor as it hit the formation with increasing ferocity and efficiency, Allied air power began to have a direct impact on Lehr. Air power was at its most effective when it was used in conjunction with friendly ground operations. It worked best as a pinning force, allowing ground based forces to encircle then destroy in detail the german forces being subjected to such attacks.
Over the next two weeks, the division fought a defensive battle of attrition against the numerically superior Allied forces. On July 19, Saint-Lo fell to the Americans. Six days later, the Americans launched Operation Cobra, their breakout from the Normandy lodgment. The operation was preceded by a massive aerial bombardment by over 1,500 allied bombers. Panzer Lehr was directly in the path of attack, and the division suffered about 1,000 casualties during this bombardment, estimated to be a 50% casualty rate. After the bombing run, the Panzer Lehr came under massed artillery fire of approx. 1000 pieces of artillery of different calibres. After these bombardments, the U.S. 1st Infantry Division attacked the Lehr Panzers, along with 238 Shermans from the 2nd and 3rd U.S. Armoured Divisions. Lehr by this point was a spent formation, unable to effectively resist.
The seriously depleted Panzer Lehr could not hope to halt the allied assaults against it, and so, on August 5 after a fighting withdrawal, it was ordered back to Alençon for rest and refitting. Two battle groups, dubbed Kampfgruppe von Hauser and Kampfgruppe Ritgen were formed from the remaining battle-ready men and tanks (about 500 men and no more than 17 tanks) and these units remained in combat and operated side by side with German Fallschirmjägers. Later, when Kampfgruppe Hauser pulled back towards Fontainebleau to rest and refit, division commander Bayerlein ordered the rest of the division to follow. The division was subsequently called back to Germany for rest and refitting.
Within seven months of its formation, the division was reduced to a combat-ineffective unit with no remaining tanks. At one point in September, it consisted only of a panzer grenadier battalion of company strength, an engineer company, six 105-mm. howitzers, five tanks, a recon platoon, and an Alarmbataillon (emergency alert battalion) of about 200 men recruited from stragglers and soldiers on furlough in Trier. After spending a month refitting in the Saar, the division was moved to Paderborn. There it received 72 tanks, 21 assault guns and replacements, something to compensate the losses suffered in Normandy. But the losses to its support echelons had been so severe that the division never recovered its former combat efficiency. this was the application of air superiority at its most deadly.