Corporatism was an ideology popular among Spanish and Italian fascists where class collaboration rather than class war was proposed. The came comes from the root, 'corp' e.g. marine corps, meaning a group of people. It doesn't really mean rule by corporations and the literal self described fascists would probably not allow the capitalist cyber-punk rule by corporations that most people imagine the term to mean to come about.
The problem people tend to have in understanding fascism/Nazism is that they try to place it on a spectrum between capitalist liberal democracy and socialist command economy. Fascism was simply not as concerned with the problems that the comparatively materialistic ideologies of capitalism and communism. The way fascism/Nazism is talked about in this thread is like a conversation about theocracies by people who don't understand that theocracies believed in a god.
P.S. every conversation on this topic on SB and related sites is pretty much exactly the same and you are all brainelt NPCs