They can self proclaim themselves to be anything; however, nothing they did or stood for fits the definition of being what we consider liberal, left wing attributes.
So, trying to say they are what you all consider as socialists is just complete disingenuousness: no one buys it but yourselves. Pathetic.
However, the do very much fit the definition of right wing fascists.
Indeed THEY can label themselves anything they wish. And saying it doesn't make it so.
Neither does YOUR proclaiming that they are "right wing fascists."
In truth, they were a very odd admixture of somewhat competing socio-political and economic governance theories all wrapped up in vile, evil, murderous bigotry.
But,
your claim that they "fit the definition" of "right wing fascists" is just so much baseless blather. YOUR saying it is convenient for a propagandizing leftist, but not in the slightest bit supported or even reasonable.