It depends on how much control over the economy those communists really have, is my point. It's entirely possible to maintain a military occupation without really being involved in economic policy-making or the daily lives of the population (especially when you're sharing the occupation with your allies), and in that case it's not necessarily that relevant what the political ideology of the occupiers is.

But ok, reading up on it a bit further, it seems that although Austria, unlike Germany, had a single elected government for the entire country all throughout the occupation period (of which the Austrian communists were briefly a minor part), the Soviets did indeed make significant communist interventions in the economy of their zone. Though the article also says that the difference between their zone and the other Allies' zone diminished over time and that Soviet Austria, unlike the proto-DDR, received significant Marshall Plan aid, so not sure how different they would have been anymore by the time Arnie was old enough to notice.