Nope. That’s a nonsensical scale that doesn’t differentiate between vastly different ideologies. The actual political scale runs the gamut of government power, from total anarchy and zero government, to socialism/communism. Fascism is next to these two because of they are all totalitarian and controlling, just differing in who owns the means of production, but in each the government is supreme.
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You may call it nonsensical, but that’s how many political scientists scale political ideologies, that’s what “left” and “right” mean. It originates during the era of the French Revolution, when the revolutionaries sat to the left of the President in National Assembly, whereas the monarchists sat to the right; even then there was a distinction between those who expressed support for more equality and those who expressed support for hierarchy. What you call the “actual” political scale is nothing more than an internet fabrication constructed by those with right-libertarian tendencies.
And incidentally, if you’re going to criticize the traditional left-right spectrum, you should see the flaws in the one which you’ve presented, with it’s description of leftism as “tyranny”, and rightism as “liberty”. For one, I think it’s safe to say that any genuine anarchist would be insulted, if not infuriated, to be called right-wing. Anarchists are in fact far-left, they believe in a stateless and classless society; it’s more or less what communism was supposed to be. In fact, one type of anarchism is called anarcho-communism, and the three ideologies of anarcho-collectivism, anarcho-syndicalism, and anarcho-communism all fall under the umbrella term of social anarchism or anarcho-socialism.
Moreover, on the subject of communism, the spectrum presumes that all forms of Marxism are tyrannical. Apparently, whoever made it has never heard of Trotskyism, Luxemburgism, De Leonism, or Autonomism; all of these are democratic varieties of Marxism. I would hardly call socialism tyrannical, as well, as socialists tend to be democratic (and by the way, no, I’m neither Marxist nor socialist, I in fact oppose all leftism in general). To put fascists in the same category as Marxists would be grossly inaccurate as well; yes, fascists and some Marxists are both totalitarian, but in spite of their similarities in how they operate, they actually do have vastly different aims. If you only look at the fact that both are autocratic, then of course they seem the same, but a much closer examination of the tenets of fascism and the tenets of, say, Maoism show some key differences.
Also, if you’re going to put conservatives on the “liberty” side, you run into a pretty big problem. Did Dollfuss, Salazar, Metaxas, or Primo de Rivera support liberty? No, they did not, and they were all conservatives, albeit authoritarian ones; and before you tell me that they were fascists, if that’s what your response is, then I don’t mean to be haughty, but you honestly don’t know what fascism actually is, with all due respect. Again, putting anarchists on the right-wing is flawed, and the spectrum you present appears to hold the notion that anarchism is simply the opposition to the existence of the state, when in fact it is much more than that; it is opposition to all hierarchy, whether it be the state or class or social constructs or religion. Anarchism has an egalitarian outlook, as much as Marxism does and beyond that of socialism.