I understand the economic distinction you are making. However, Communism really means No government or dissolution of government.
No. Communism is government ownership of markets. That cannot happen under anarchy. While anarchy is chaotic, due to rampant crime, capitalism is the predominant economic system. The crime, of course, is not capitalism.
Unfortunately, we sometimes have to accept the leftwing's reverse Orwellian definitions to communicate with them.
No. You never have to accept them. Words mean things. Democrats speak a different language. I call it Liberal. It looks like English, but words have no meaning or shifting meaning. There is no purpose to try to communicate with anyone in Liberal, as opposed to English, since communication is simply not possible. Much of Liberal is used to chant.
As you know, the father of fascism was Mussolini and the German people distinguished themselves from the Italians, ... as National Socialists.
While Mussolini coined the word 'fascism', it was also the practice of both Stalin, Hitler, and FDR at the time. The practice of government manipulating markets is much older than Mussolini. The word 'fascism' itself comes from the Italian word 'fascio', meaning 'group' or 'bundle', referring to the association of government 'bundling' markets (or manipulating them). An earlier form is 'fasces' referring again to a bundle. This term was used in Rome describing Roman manipulation of markets. Rome, of course, also sanctioned slavery and owned some markets (communism). This word is probably a mutated form of phakelos, also meaning 'bundle', but in Greek. This is also the origin of the term 'faggot', also meaning 'bundle', although 'faggot' was never really used to describe an economy.
Would you elaborate on fascism not being a form of gov't?
Certainly.
Governments take many forms: including democracy (or government by popular vote), republic (government by law, or constitution), dictatorship (government by an individual, also called a monarchy or autocracy), oligarchy (dictatorship by committee), or theocracy (government by God, or religion). Plutocracy or technocracy is just an oligarchy.
Economic systems take just a few major forms:
Capitalism, or the voluntary production of products and services for sale to voluntary buyers (the only economic system that creates wealth),
Fascism (a form of socialism where government theft of wealth occurs through manipulation of markets),
Communism (a form of socialism where government theft of wealth occurs directly, by taking ownership of markets, including property),
Slavery (a form of socialism where government sanctions theft of wealth by theft of labor, or ownership of people).
Because socialism is theft of wealth, it must be implemented by force. That means an oligarchy or dictatorship.
Capitalism, fascism, and communism exist in most every nation today. Capitalism is the free market. It's immortal. It can't be killed, even if you drive it into a black market. See your local drug dealer for details.
Fascism and communism require elements in government that act like oligarchy or dictatorship. Examples in the States is the EPA (fascism), the Federal Reserve (communism), the Agricultural dept (fascism), etc. These government agencies specialize and act as an oligarchy over a particular market or markets. NONE of them are constitutional. NOTHING in the Constitution ever gave Congress or the President the authority to create these agencies.
Capitalism exists in every nation as well...even inside North Korea and Cuba. There is no stopping it, no matter how oppressive a government gets.
All forms of socialism and capitalism are economic systems, not forms of government. It is quite possible, for example, to have a dictatorship and still have capitalism. Black markets exist in every dictatorship.