Hitler was a leftwinger. The main reason he was called a rightwinger was to draw a distinction between Nazis and Communists. Nazis, Communists, Fascists, etc. are all big government, left wing, types of government.
Nazi is short for National Socialism.
I agree, but would add.
Fascism was an extreme left of center ideology. But it was still right of Communism. It was the “middle way”, so how could it ever be right of Capitalism?
That’s where the mistake is made, in my opinion.