In the real world, Vorarlberg, the westernmost Land of Austria, held a referendum in 1919 on whether to join Switzerland in which the vote was 80-20 in favor. However, Austria didn't want to let them go and Switzerland didn't want to take them.
That wasn't the point at all. Tirol and Salzburg both held referenda at the same time saying they preferred to join Germany than be parts of a truncated German-Austria. (With 90-10 type results... actually, in Tirol an independence option was included and got some support as well.) The Vorarlberg referendum can be understood only in that context.
German annexation of Tirol and Salzburg was vetoed by the Entente powers. Vorarlberg joining Switzerland would only have happened had the Entente not done that.
However, in that case it's doubtful whether that's where it would have stopped. More likely, all of Austria would have become part of Germany in 1919. In which case it would probably still be.
One might wonder if the Weimar Republic would have worked better if Prussia hadn't still been such a large chunk of the country... if WWII could have been miraculously avoided this way... but I very much doubt it.