The origin of the wrong idea that the nazis were lefties

[parochial boy]

the value of the collective over the individual and the common good were socialist in orientation.

This concept well predates socialism.

TIL Confucius was a socialist. Among other luminaries of historical leftism.

[parochial boy]

Dude, what you are doing is redefining the left-right spectrum in order for it to fit your narrative; rather than applying the spectrum as it is conventionally understood.

Now, of course, the "left-right" spectrum is not an iron-cast law of nature, it is something that is defined by the way that we collectively interpret and understand it. So in that respect, it is fundamentally not possible to separate our understanding of the political spectrum from "context"; as without "context" their is no spectrum.

Also, I don't see how you can discount motivation as a factor - a large part of the point of being left wing is about redistribution and equality, and the Nazi economic model largely wasn't redistributive (and needless to say, their instincts were not egalitarian for a second).

Unless, that is, you want to argue that Winston Churchill was a left-winger as a result of the command war economy. In fact, forget that, under your understanding that being economically right wing requires a commitment to a liberal economy, virtually no-one from the entire of history could be called "right wing", up to and including Adam Smith.

[parochial boy]

^^ what?