in my personal analysis, you have two visions of the world:

-the economic (freedoms and restrictions of economic agents)

-and the social (freedoms and restrictions of individuals)

you can have two positions around those visions: a liberal or a conservative position. ending in something like this:

social conservative: restricting individual freedoms (homophobic, transphobic, “pro-life”, mysogynist, culture based on religious ideals or religious fundamentalism)

social liberal (the opposite)

economic liberal: freedom of economic agents (mostly the ruling class), free market, anti-unionism, pro-business, less/no taxes, small government, usually pro-current economic system (right now a capitalist apologist/anticommunist)

economic conservative (the opposite)

in my path, i’ve noticed that right-wing thought usually falls into the pair “social conservative/economic liberal” and the left-wing thought falls into its counterpart “social liberal/economic conservative”.

the “pure conservative” currently would be something like the nazbols or the john birch society, and the “pure liberals” would be libertarians who wants legal weed, some cripto enthusiasts or maybe some kind of anarchists

so…left-right has some materialism in my opinion