This actually makes sense, sort of.
Every society has its own traditions that conservatives seek to protect or return to. What they are varies, so an American conservative has very little in common with a Russian or Afghan conservative.
OTOH, leftism around the world, whether of the national or international variety, has a great deal in common everywhere.
BTW, while Nazism was national socialist at its core, in blended in so much of the toxic European and specifically German varieties of conservatism (Church and Crown, blood and soil) that I think it stretches terminology to call the Nazis "socialist" without a great deal of explanation of terms.
Sorry, should have said that Nazism incorporated the most toxic elements of European and German conservatism. Not all elements of this tradition were so toxic.
Well, they were the National Socialist Workers Party.
They certainly were into "social engineering" weren't they?