First, thanks for a provocative (in the good way) article on an important topic. Of course, in talking about fascism we must always keep in mind its fundamental insanity--irrationality--in the first place.
Despite not being mentioned in the rest of the article, including Eco's list, isn't "supremacy" the single most important criteria (extended to include 'race' or even gender)? A presumed-but-not-materially-realized supremacy seems to underlie several of the items in Eco's list. [I take "ethnic" to be more about culture than 'race'; technically, since it is not intrinsic in the way nationality or 'race' are--re. 'blood'--I question its inclusion there.]
Surely supremacy has been the basis for 'totalization' in fascist regimes, however thoroughly or not it might have been realized. Contrary to (from the article, re. Eco), "Both Nazism and Stalinism were examples of totalitarianism. Fascism was not," don't most people agree that Nazism, which combined racism and nationalism, was the penultimate fascism? "Supremacy" differentiates Nazism from Stalinist--totalitarian--Marxism: Stalin used nationalism to rally 'the people' in time of war, which extended into the 'Cold War', but not as an ideological tenet.
Mussolini was enthralled with the glory of ancient Rome, which was for him evidence of Italian supremacy. He was willing to extend supremacy to, broadly, 'race', though as such it was never specifically delineated by him. Franco, in Spain, was more like Mussolini than Hitler in his thought, harking back to that nation's time of dominance (though more like Hitler in his brutality). Japan's militarists were convinced of Japanese superiority, making them fascists.
To be sure, there is a difference between fascist regimes and personal dictatorships in which the ruler makes fascistic claims purely as a political tool. Actually, Franco might fit best in that category--and maybe even Mussolini, despite his historic relation to "fascism?"
If anyone is still reading, I do appreciate your time and consideration. I can find it hard to stop.