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You posted an article written by a man who doesn't know much about the Nationalist politics.

No discussion of the Spanish Civil War is complete with discussing the Falange, its views regarding social justice (which were as "progressive" as the Socialists, Antonio Primo de Rivera, the Carlists, Franco's difficulties with dealing with his political rivals in the military (Mola, Yagüe), the conflicting views within the nationalists between Republicanism and a return to Monarchy, and the intense dislike the Nationalists had of the Italian military volunteers.

I'd go further, but it's better to recommend to read up on it.