You are kind of right in that the devision (at least in the traditional meaning from France) has two pillars, you have the authoritarian one siding with kings and nobels vs elected officials, freedome of speech and equality in a social (none economic) sense and you have the economic devision aka little state intervention to the market and redistribution vs the state as protective force for those who need it with stuff like strong worker rights and wealth redistribution. In short the traditional meaning of "left" is socially liberal but not market liberal which is a majore reason why I dislike the American attempt to split between left and liberal so much, if you are left you have liberal ideas and that's the part where Hexbear wants to frame me as somehow market/neo liberal wich is plain wrong!