The single axis political spectrum is a generalization, often depicting the social, political and economic aspects of its society on a single axis. If I described myself as far left, then I would be on the same place as Marxist-Leninists, Stalinists, Marxists, Posadists, Anarcho-Communists and Anarchists. At the same time, if I labelled myself far right, I would be in the same place as Monarchists, Anarcho-Capitalists, Ayn Rand Objectivists and Anarcho-Individualists. Despite the fact, that all these have very VERY different views, perspectives, beliefs, rhetoric, economic theory, political theory etc.

It is irresponsible to generalize a political theory/movement in a single axis. It lacks accuracy, it lacks nuance, it breeds generalization and polarization. Which, despite the fact that I lack credible research for it, have led to hasty generalizations and conclusions of one's political beliefs.

If you want an example, it is often expressed how far right affiliated regimes and individuals are akin to Nazis. If you want a good example of far right don't point to Nazism and Fascism, both are right leaning and right but very authoritarian. Why? How blasphemous!

The Nazis (National Socialists) nationalized private charities under the National Social People's welfare, predominantly focused toward couples and children. Couple that with the notion that autocratic monarchies should be abolished (basing this off of Carl Schmitt's work) the leader duly appointed, should carry the burden of sovereignty and exercise it in times of artifically created crisis to unite the people under a common enemy as per the Friend/Enemy distinction. In this case, the Nazis did have socialist policies balanced by the most racist and ultra-nationalist way possible. At the same time, Capitalist principle of allowing free trade and private enterprise was stifled, instead of for profit companies they were for the state.

How is this relevant? Because of nuance. Nuanced facts that contradict the percieved truth is essential in balancing an argument amd more so in classifying political, economic and social policies, the previous two examples are responses to the generalizations made by common people on those two sepcific terms "The Nazis are not socialist, they were far right" or "You're fascist therefore you are a racist white male" or "you're fash, against jews". These statements are reductionist and serve no purpose to shed light on the objective or at the very least, the most objective truth.

Another example of the failure of the left-right spectrum is the perception of American politics. Contrary to popular belief Bernie Sanders isn't even leftist, he is a left leaning libertarian subscribing to Democratic Socialism. When placed on the political compass, Bernie's beliefs align perfectly with those of Denmark, which is liberal, has a free market but strong tax and spend policies with very democratic systems. Contrast Bernie with every other Democrat and you'd see that most Democrats are actually right leaning and Republicans overlap with other Democrats in terms of ideology. Joe Biden is a perfect example of this.

Everyone lives in a mixed economy, whether you're from the USSR or Vietnam or the US, nobody lives in a truly "_____" society without compromising ideological rhetoric. Even feudalism transitioned to more Mercantile and extractive economies, but its political structure was still maintained. China is not communist or socialist in the Marxist-Leninist-Maoist sense, they are Dengist but still utilize the previous decade's rhetoric.

The political spectrum generalizes this and doesn't do the intricacies of political science any justice.