Fascist, allied with others, Mussolini & Hitler, long outlived them all.
I'm not certain there is any practical difference between the words "fascism" and "national socialism", seems to me there were both private and government run business in both.
During WWII Franco somehow remained officially "neutral" while sending divisions to support the German Eastern Front against the Soviet Union.
I'm guessing Hitler agreed to this with the thought that a neutral Spain could import raw materials Germany needed (i.e., rubber) whereas Spain allied with Germany would be subject to the same Western powers blockade.
Anyway, the point here is that a choice between "right wing dictatorship" and "left wing tyranny" is a false choice for American conservatives.
We chose freedom & constitution, and will not willingly sacrifice those for a return to one-party or one-man rule.
Hitler was furious that Franco wouldn’t join the Axis; Franco shared none of Hitler’s racial views and wasn’t an enemy of the Western allies. He asked them for assistance in the Spanish Civil War because the Western democracies stood by while Spain underwent a violent communist revolution; the fact that they alone assisted him speaks volumes.
Much of Europe (particularly in eastern Europe) saw right-wing governments supported by their populations to fight off communist unrest; it brought Hitler and Mussolini to power as well. After the brief assistance to the Whites in Russia’s civil war in the early 1920s, the Western democracies did nothing to stop the spread of communism throughout Europe. When nothing was done to aid Spain or later Finland, Europeans realized they’d have to deal with communism alone. Salazar in Portugal shared many similarities with Franco (and provided invaluable assistance to him), yet I never hear him referred to as a Nazi.