To me... the distinction between "socialisms" is a little specious. Similar to AOC and the Bernster trying to deny Socialism by adding a modifier: "Democratic Socialism".
The Germans knew what Socialism was. Marx was German. Again... it wasn't a secret.
They could have simply named it the National Worker's Party. Why did they feel the need to drop a well known term in the name if they didn't agree with that ideology? Everybody knows you can't reliably and successfully redefine common terminology...
Which of Marx's 10 planks of Communism did Hitler implement in his country, then?

Note on Hitler using the term "Socialist": On further consideration, I am going to draw another comparison between Hitler and Bismarck. Bismarck implemented a program of "anti-socialist" policies that included such things as the first ever state welfare programs as a means to draw the "moderate" socialists out of the Socialist party and make them supporters of his regime, since these reforms would, in Bismarck's mind, satisfy their demands. And, he was correct. In much the same way, I think that Hitler used the term "Socialism" to draw more moderate minded socialists (think mainly workers here) who desired some labor and economic reforms, but were not all in favor of internationalism and the abolition of private property, out of the socialist movements and into his party.
Also, since this topic is getting derailed a bit, can we move the discussion about Hitler and NS to another topic? The article I posted was about how, even under severe persecution by governments, the Church will win in the end. Moreover, it sheds light on how Mussolini (along with the Italian Fascists who followed him) saw the relationship between the Church and the Italian state. I would prefer if we could discuss that here over discussing Hitler and NS, because Mussolini and his movement comparatively attract little attention in comparison.