Democracy requires Socialism.

I understand the difference. I fail to see how it proves Horseshoe Theory.

None of that has anything to do with horseshoe theory, though, which is the idea that the far left and far right are similar. Homosexuality was decriminalized under Lenin, who was further left than Stalin, who recriminalized it. Your example goes against the original claim.

That isn’t really true, nor accurate.

Communism, chiefly, is a Stateless, Classless, Moneyless society. A world republic where from each’s ability, each’s needs are satisfied. You cannot separate that from the concept of government.

“Authoritarian” and “Libertarian” are vibes-based labels. Capitalism is inherently a system where the majority do not hold power, yet by your definition it could be “libertarian” or “authoritarian.”

Horseshoe theory again is used purely to equate the left with the far-right and uphold the liberal status quo as a “sensible meeting point” and legitimize the violent system.

It’s generally anticommunist propaganda, equating Communists and Anarchists with fascists, as a way to make the liberal status quo seem “rational.” In actuality, there is nothing similar between the far left and the far right. Additionally, the claim that violence is common on the far left and far right when compared to already common violence of liberalism is additionally used to paint leftist structures in a negative light.

Horseshoe theory is utter nonsense and devoid of any actual analysis, lol.