We all know socialism means that the means of production are owned by the entire population equally, and that the products of that production are then granted to those who need them.
No, that is Collectivism. Which is a key part of Communism. That in itself is not "Socialism".
Nothing about "Socialism" demands that production be turned over to anybody. That is something rather unique to Communism (more specifically Marxism) and no form of Socialism on the planet.
Hell, look how often people try to point to countries like Sweden and claim they are "Socialist Countries". There are a hell of a lot of countries that are "Socialist" to one degree or another, yet Collectivism really only exists in those based on the scribblings of Marx.
The problem I keep finding is that Marxists want to control not only everything, but they want to control facts and definitions. They are so obsessed with the scribblings of a professional homeless dude that they tend to believe he is the Prophet, and everything he wrote down is the Absolute Truth as passed down from On High. It is more akin to religion than anything else.
And excuse me as I laugh.
Italy and Germany of that time, though, were not socialist, at all. They had both started their careers as socialists, but then they each left those parties and created their own, ditching the promise of equality (backbone of socialism) completely.
Yes, they were. And no, Mussolini did not 'start his career" as a Socialist, he was a hard core Communist. The editor of the largest Communist Newspapers in Italy. One of the top of the top leaders int eh Italian Communist Party. However, Italy like a great many other Communist movements in various nations started to tear themselves apart as they found they could not just sit back and see their countries torn apart during WWI. Der Lamp Ornament was one of them, and he did not leave the Italian Communist Party, they excommunicated him. Because as the war went on he started to advocate for Italian Communists to support Italy if that was their choice.
In other words, he was a heretic. And as with all religious movements, one must banish heretics. But that was not even the first such case between Nationalist and Internationalist Socialists. The exact same thing happened in China at around the same time. When Socialist and Nationalist Dr Sun founded the modern Socialist movement in China. However, after he died the government split in two, which lead to the funny fact that both the CCP and the KMG both see Dr. Sun as their "founder", even as both were trying to destroy each other.