That is what I thought might be intended. However, what the German Terms and Conditions says is:
"Der Dienst steht Ihnen nur in Österreich zur Verfügung. Sie dürfen den Dienst nicht von außerhalb Österreichs nutzen oder versuchen zu nutzen. iTunes kann mit Hilfe von technischen Mitteln die Einhaltung dieser Bestimmung überprüfen."
My translation is:
"The Service is only available to you in Austria. You may not use or attempt to use the Service from outside Austria. iTunes can check this condition with help of technical means."
Read as it stands, that seems to stop you using Apple Music outside your home country. I hope (and rather assume) that this is a mistranslation of the English Terms and Conditions but it should certainly be clarified. What does "use the Service" imply? If you can't listen to music, the Service isn't much good!