Secondly, by your very same logical chain, Capitalism is more authoritarian, as only the state and the Bourgeoisie call the shots, rather than democratic control.

This sentence doesn’t make sense. Capitalism is an economic system. One can be capitalist and authoritarian, as is the case with fascism, or one can be totally and completely laissez-faire as a state policy in some sort of Objectivist hellstate. Liberal Democracy is what keeps those things from happening, as a competing system of government.