That is absolutely correct in all aspects. Adolph Hitler himself was an unabashed supporter of Big Labor:
I am convinced that we cannot possibly dispense with the trades unions. On the contrary, they are among the most important institutions in the economic life of the nation.
Before everything else, the trades unions are necessary as building stones for the future economic parliament, which will be made up of chambers representing the various professions and occupations.
— Fascism A Socialist Leftwing Ideology.
And of course, the very name of the NSDAP party, rooted in the German union movement, tells all: