Disclaimer: I know absolutely no German (or Austrian), except for being able to count to ten, which doesn't count. Oh, and saying "Nein spreichen zie Deutsch" which doesn't count either. I do know how to pronounce Deutsch, though, having gone on a student exchange with some German students once.
So, how do you pronounce Reich? I was reading The Rise and Fall of the Third Reich and was pronouncing it Reikh. An Austrian man told me it was really pronounced Reish. My parents said: that's Austrian. In Germany it's Reikh.
So, when my doctor said Asperger was Asperjer, I believed her.
And, no offence intended, do Germans always know about Austria? The English get an awful lot wrong about Scotland, so I'm always a bit skeptical. Or is this one really obvious?