As you approach maximum authoritarianism then the differences between left and right become less and less noticeable.
And a left wing system that is at the maximum level of authoritarianism is functionally identical, aside from a few minor semantic differences. to a right wing system at the same level of authoritarianism.
The same also applies to systems at the minimum levels of authoritarianism , there is no difference between an impotent left wing system that is unable to enforce left wing policies and a similarly impotent right wing system. if there is no enforcement of a system then society will revert to primitive socialism.
It is only at the moderate levels of authoritarianism that differences can be most readily noticed with systems like socialism and conservatism emerging.