Yes, I agree with you.
I just wanted to add that at the time “socialism” was any answer to the question “how to structure society so its members benefit the most?”
Nazism was such an answer, and it was “eliminate all who don’t contribute”.
Of course the concept of socialism later evolved and got more strict so that Nazism doesn’t count anymore.
Good it turned around, reminded me of that “if the brain was simple enough to understand, we would be too simple to understand it”.