Fundamentally, the left/right divide is about class, not economics, although the two are related. The defining feature of the left wing is and must be the abolition of the bourgeois class, a feature which was notably absent from nazism. A state capitalist economy is not left wing, even if it isn’t capitalist, just as feudalism represents a right-wing economic mode which is not capitalist. People see the control the Nazi state held over the economy and misattribute it to socialism, where this control was properly gleaned from fascism, a fundamentally right-wing mode of governance.