Poor article, the political compass is trash. Left vs right and Authoritarian vs Libertarian are the same thing. Left and right historically means equality vs hierarchy, and you can divide that under 4 types of equality. Decision-making power, cultural, economical and national. For more info why this is the only logical and historical correct definition see the What is Politics? serie on it https://www.youtube.com/watch?v=P3cmjNrXWms