The Political Compass model is based on a right wing premise: that authoritarianism and libertarianism are opposed, that what it calls the "Economic-Right" can sometimes oppose authoritarianism.
The most extreme advocates of right-wing libertarianism are in fact just advocates for authoritarianism of a slightly different kind.
To classify one's own beliefs according to the Political Compass is to classify oneself according to a right-wing model of politics.