I would wager that the 8th AF crews who experienced the Sturmgruppe attacks in summer/autumn 1944 might beg to differ! Not to mention the (admittedly limited) contribution of JG7 and the other jet units in the last few months of the war. It's true that by the end of 1944, the day Jagdwaffe was incapable of offering effective opposition to USAAF raids, but this came about well after Big Week; it resulted from the horrendous losses sustained over the Invasion Front and the USAAF's success in disrupting the German oil industry, and the transfer of many day fighter units to the Eastern Front to counter the last Soviet offensives.
Crews wouldn't see the bigger picture. Galland knew the game was up in April 1944, pilot shortages were probably the Luftwaffe's biggest problem (other than some idiot deciding to invade the Soviet Union of course), resulting in novices being thrown into the fray. Jets were a waste of resource for the Germans (hindsight!).