From what I have read, pretty true, at least in Western Europe, the Mediterranean and North Africa. Russia was a different story. There the German Army was, in some cases, almost as brutal to the local populations as the SS. One example is the City of Kharkov. The Germans would not feed anyone not working directly for the army. Thousands of Kharkov citizens starves to death as a result of that policy. This also happened in a lot of cities occupied by the German Army in the Soviet Union.
Of course in this era, the Germans thought they were better than everyone else, so I guess they just had varying degrees of this "untermenschen" arrogance.