Fascism is a form of far-right, authoritarian ultranationalism characterized by dictatorial power, forcible suppression of opposition and strong regimentation of society and of the economy which came to prominence in early 20th-century Europe.
Other than the definitions always include the term "far right" the description sounds just like our left.
Left is the increase power of the public sphere Right is maintaining the power in the private sphere The private sphere always exist (even in the USSR they never successfully destroyed all of the private market) The public sphere historically always collapse as it becomes more and more burdeness and inefficient (i guess that your horseshoe as it archs and returns back to the private domain)
The private market cannot be stopped.
You can strangle it as much as you like but people will continue to buy on the black market or barter.
Tale as old as time, literally.