Yes, quite true about the drafts. Interestingly, the author Gunther Grass was drafted into the Waffen-SS and posted to the Frundsberg division-don't know if he was at Arnhem or not, though.
It caused him some embarassment, when it came out. His hometown of Danzig was going to award him some honor, and it was the cause of great debate. Now, no one can seriously accuse Grass of ever being a Nazi, but on the other hand, to patriotic Poles, it was a bit of an outrage to grant any kind of honor to any former SS man, no matter if he was born in Danzig or not.
Grass described receiving his draft notice, and apparently, there was no distinguishing marks on the letter, so it wasn't till he opened it that he saw that he was drafted into the Waffen-SS and not the Army.
Prost!
Brad