You may be on to something there. I think the Nazis did not view Italian blood too favorably.
And of course the whole Teutonic thing probably played like a lead balloon south of Alps. All that “reviving the glory of Rome” that Mussolini was on about could only reinforce the historical reality that when Rome was the capital of the world, the “Germani” were barbarians. So “Master Race”...mm.....not so much.
Probably the Italians were mostly bemused by the racial pretenses of Naziism.
I was thinking more of Western liberals not wanting to dilute their post WWII anti-Western Civ war, by diluting Nazism with anyone other than the pure Aryan blonds that they like to portray the Axis forces as.
They wanted WWII to become a war about the white race itself being evil, so the imagery is very important.