Not issued...
I think the most logical explanations have already been posted.
You're just not going to issue out to troops a weapon you have limited quantities of, limited ammo (also a caliber you don't use) and replacement parts at a time when you don't think you'll need them because you're steam rolling everyone and expect the war to be over shortly.
I'm willing to be proven wrong. Anyone have some period photos of the Wehrmacht, Kriegsmarine front line or rear detachment troops with them in use?