When you utterly erase class analysis, and just group everyone under "citizens," you run into utter contradictions. Socialist states have been far more liberating for their populace overall, even if they've been oppressive towards fascists, capitalists, etc, meaning they would technically belong in the "libertarian" quadrant if we define it the way you claim we should. The entire idea of a "libertarian-authoritarian" spectrum, or even a left-right spectrum and not just various right and left ideologies that cannot be abstracted into a graph-based system, is actively harmful to our understanding of political ideology.
Anarchists want communalism, whereas Marxists want collectivization. Neither is more or less "authoritarian" or "libertarian," in that even horizontalist systems actually erase the democratic reach of communities to within their communities and immediate surroundings, while collectivization spreads power more evenly globally. This isn't something that can be represented on the graph in any way, yet results in fundamentally different approaches and outcomes.