From Umberto Eco's definition of fascism: "'Appeal to a Frustrated Middle Class', fearing economic pressure from the demands and aspirations of lower social groups."
From Gentile's definition: "corporative organization of the economy that suppresses trade union liberty, broadens the sphere of state intervention, and seeks to achieve, by principles of technocracy and solidarity, the collaboration of the 'productive sectors' under control of the regime, to achieve its goals of power, yet preserving private property and class divisions;"
I understand that it is appealing to try to dilute the meaning of "fascism" by applying it overly broadly until it loses its meaing. Whataboutism is also convenient way for the Right to distance themselves from the evils committed by the right-wing Nazis and other far-right fascist groups.
The better way for the Right to distance itself is by supporting moderate democratic norms rather than giving in to violent populist impulses. Power is one heck of a drug though.
So, correcting for the projection:
"I understand that it is appealing to try to dilute the meaning of "fascism" by applying it overly broadly until it loses its meaing. Whataboutism is also convenient way for the Left to distance themselves from the evils committed by the left-wing Nazis and other far-left fascist groups."
The facts don't change just because some people want to fling a dehumanizing insult.
The corresponding left-wing authoritarianism would be "leftist populism", "Stalinism", or some other term.
What you're describing is called Horseshoe Theory, and it's not well-supported by evidence. Right-wing and left-wing populism have a few things in common (authoritarianism primarily), but have much larger differences than similarities.
I will point out that attacks on a free press ARE a clear sign of authoritarian regimes. I would encourage you to take a look at the history of the German word "Lügenpresse" (literally "lying press"). Especially take note if you see similar things being said about the modern media -- and which groups are saying it.