It seems that everybody's grandpa was a sniper as well. I own a Luger that was "donated" to a Canadian POW. The man was my neighbour when I farmed. He gave it to his brother and the brother used to bring it to the range and let us shoot it. He gave it to his son, and when he lost interest in shooting, I bought it. It came with a belt and holster. The POW spoke German and was one of the liaisons at the camp. When it became obvious that liberation was imminent, the fellow told an officer he wanted his pistol. When the Allied people showed up, the German officer took off the belt and handed it to the POW.
I have no reason to doubt the story, and the experts need not tag me as a moron.
if the pistol is matching and doesnt show any post war markings, there is no reason to doubt the story, especially if the original vet told it.