I'd say your obfuscating by conflating politics and economics

You could say that, but only because you've fundamentally bought in to a right wing framing through belief a right wing propaganda tool.

Neither of us is the arbiter of truth

Ok? Thats a complete thought terminating cliche. No one has to be the sole arbiter of truth to say things that are true about our material reality.

I didn't invent the concept of political economy. If you think its obfuscation, take it up with the political theorists of the 17th and 18th centuries and the socialist theorists of the 19th who drew on their work.

I'm not inventing things and arbiting truth, im talking about actual theory and not propaganda models, that have clearly worked in your case.

Sure they are closely related and thus the X,Y graph, but they are not the same

This is the problem with the political compass, and its entire reason for existing. Its to decouple politics from economics and create a belief that some things are similar or related when they are not - a flattening of political understanding to render people illiterate.

The use of "authoritarianism" as an axis - a word that is not meaningfully definable - is only used to perpetuate the Cold War mythologies of communists being the same as nazis. Just like double genocide theory, this view of politics is ultimately nazi apologia.

On the reverse, it serves to legitimize "right libertarianism" by flattening peoples understanding to make it look like it has something in common with actual ideological traditions like anarchism. As a professed anarchist, you should abhor this flattening and equivocation and the model that promotes it. I'm not personally an anarchist, but i find it disgusting how they've sought legitimacy by trying to tie themselves to actual intellectual and political tendencies.