Yet.
Would you consider Mao and Stalin to be left, or right? Would you agree, regardless, that they are authoritarian?
They’re authoritarian. Left and Right get conflated with communism/capitalism but all four exist separately from each other.
Leftism is about equity of power and the right is about protecting power structures that exist even if unbalanced (the status quo).
Capitalism and communism are economic systems, not political positions.