Central planning is as typical of monopoly capitalism as of socialism (this is an example of capitalism progressively undermining itself by its nature). The difference is whether the economy is directed by the state to favor capitalist trusts that would fail without state planning, taking capitalism down with them, or to serve a ruling proletariat, and the chief material factor making the difference is state vs. private ownership of the means of production. I guess using your crazy redefinition we can make Churchill’s Conservative Party “socialist” next on the basis of his central planning.
The Nazis’ substantial anti-communism made it felt from the beatings by Brown Shirts to the repressive legislation to the concentration camps and gallows to the invasion of the Soviet Union. Their verbal anti-capitalism manifested itself through persecution of Jews as scapegoats for the Krupps and Thyssens the Nazis served as the executive committee for, efforts to revive the medieval guild, patriarchal family, the Prussian aristocracy, the Holy Roman Empire, and other relics of precapitalist barbarism, demagogic attacks on English usury, and shamefaced repetition, sotto voce, of the word “socialism.” Even Goebbels, on the party’s left-wing fringe, coined the phrase “Iron Curtain”—later adopted by Churchill—to describe the incompatibility between his views of freedom and that of the socialist world. That the term “privatization” was coined to describe the fundamental economic policy under the Nazis, and that Austrian Economics founder Ludwig von Mises praised Germany alongside similar fascist dictatorships for their service to freedom, and himself served as economic guru for a similar fascist regime in Austria, and that the pope hailed Hitler’s invasion of the USSR as an act of liberation, say it all about how anti-capitalist the “National Socialists” really were.
Sadly, the Nazis are not the only antilabor, anticommunist opportunists to steal socialism’s good name. What distinguishes them is their complete break with the labor aristocracy and their alliance with a middle class alienated from labor for the total war against the unions and the left that was the basis of their promise of national renewal.