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.

These are not really corner cases but whatever man, you believe what you want.