Yerss is correct, absolute rule can occur on left or right wing politics- but on vastly differing 'mandates'; you would never get an inherited dictator under left-wing politics, for example- at least not by design. As Monarchism is not, in itself, an absolute definition of a political system, then it is difficult to place it inside the spectrum. Absolute monarchism is right-wing, of course (being a form of Absolutism), but Constitutional Monarchism rather depends on what the Constitution is.
It WAS odd calling a left-winger like yerss a Fascist.