The left uses ‘Nazi’ every time they get a chance. The ironic thingis that the Nazi were the National Socialists, left-wingers.
Hitler was ingenious in naming the Nazi Party to appeal to disparate groups.
It stands for National German Socialist Workers Party.
Nationalist and German were considered to be right-wing terms.
Socialist and Workers were considered to be left-wing terms.
Thus he was able to attract people from both extremes of the political spectrum, left and right.
The term 'Projection' comes to mind on the reason.