and the well known Libertarian Socialist Christopher Hitchens

Nazism adopted aspects of socialism, its just the Reich decided only certain groups were allowed to participate, while certain other groups were heavily persecuted stolen from, and murdered by the state. So on the Left Right scale yes they are slightly to the left of absolute right because of the social programs and redistribution of stolen wealth and land and the fact that while private ownership remained mostly intact private business was still guided and controlled by the state to facilitate the wartime economy. I'm not calling them socialists, just fascists that stole a few ideas from the socialists and implemented them in ways that would strengthen and benefit the german state, and pacify the remaining approved groups of approved peoples. It seems your conflating left right (communism - capitalism) with Authority and Liberty.

https://www.theholocaustexplained.org/life-in-nazi-occupied-europe/economic-policy/ https://en.wikipedia.org/wiki/National_Socialist_People%27s_Welfare

Though TBF If I had made this graphic myself i'd probably have expanded the Nazism area to overlap with the Fascism square