This is correct, and it’s legitimately insane to me that the Nazis themselves never see it.

In fact, they will completely deny it afterwards.

I recommend reading They Thought They Were Free: The Germans 1933-1945 by Milton Mayer. This is my favorite quote but the whole book was eye-opening:

When I asked Herr Wedekind, the baker, why he had believed in National Socialism, he said, “Because it promised to solve the unemployment problem. And it did. But I never imagined what it would lead to. Nobody did.”

I thought I had struck pay dirt, and I said, “What do you mean, ‘what it would lead to,’ Herr Wedekind?” “War,” he said. “Nobody ever imagined it would lead to war.”