I am going to correct you on one seemingly minor point. Marx wanted social ownership, and not state ownership. In the end communism, the state would whither and disappear, so would have been unable to own anything. So the codetermination of Germany, where just under half of the controlling votes are given to workers, would be considered social ownership, and therefore socialism.
I do agree the socialist parties of Western Europe have become extremely pragmatic, and willing to allow the means of production to be controlled heavily by private capital, which is why I call it at best light socialism. Europe has followed the German pragmatic theory of whatever works well.
Here we agree. The American right is claiming everything is socialism, and it has lost all meaning.