And the authoritarians try to reconcile this issue by saying we liberals are actually on the right. How wonderful!
To be clear, you were saying Capitalism is left wing. They are using Liberal, as in Libertarian, not as in the actual meaning of Liberal as in Capitalist.
There is a difference.
A lot of people who claim to be liberal, just aren’t left wing. The good example is the FDP party in Germany.
To quote Wikipedia: The FDP’s political position has variously been described as centrist, centre-right, and right-wing. The FDP has been described as liberal, conservative-liberal, classical-liberal, and liberal-conservative. Other sources have described the party as libertarian or right-libertarian.
There are left wing liberals, but don’t act like they usually call themselves liberal.
