Erich Hartmann, the all time ace of aces strongly opposed the German purchase of the F-104. He said the plane was too difficult to fly for the Luftwaffe pilots of the 60s.
They were not as well trained as American pilots and sure enough they crashed a huge number of them.
I would say in answer to Erich, yes except for you the best of them were shot down in the War.
They were unaffectionately called "lawn darts" by many U.S. pilots.
The Luftwaffe was abolished in 1945 and wasn't reformed until the 1960s, when they got these. In retrospect it might have been better if they'd worked up to the F-104.
But it was a dangerous plane for Americans, too, with one of the highest accident rates of any jet. The great Chuck Yeager was severely burned and lost two fingertips ejecting from an F-104 after he lost control.