I'm not so sure about that. Stands to reason, AFAICS, that "MY freedoms (and screw yours)!" ideologically resonates more on the right than the left: The whole left-right dichotomy is one of ~ "my freedoms above all" vs "freedoms for all, balanced with responsibility for all".
I think that this is extremely simplistic. For example it does not account for individualist anarchism or the collectivist "for our country/nation/race" pushed by various fascist governments.
I can't see how "doesn't cover absolutely all corner cases" equals "extremely simplistic". I'm fairly sure that in broad terms, "left / right" covers the political spectrum the absolute majority of people inhabit. Your objection feels like futile quibbling to me.