You guys have it all wrong.
Any form of government that imposes its will against a nation is left wing by virtue, you are forcing citizens to bend to the will of the government in order to "protect" society from gangs and thieves, or other countries trying to take your announced land.
Government must be run by a group that establishes itself, and forces people to acknowledge its existence and laws. This is inherently a left wing ideology.
Now, you can have all sorts of governments who are more or less authoritative on how they control their population. This is where the left vs right argument comes into play. How much power does the government have over the individual and vice versa? Who pays regulations, who pays taxes, who owns the land, who owns property, ect. This puts people into whether they have a more conservative view of government control, normally less regulation, taxes, and has ownership of property along with more individual rights. OR liberal control, the opposite of that where people are forced to give up their ownership and have little control over their individual movement. Much like we saw with the recent lockdowns. Government removed your individual rights to run your business and in some countries, couldn't even go out in public for too far.
Any type of government that forces its will on the people using government force is inherently Liberal. Nazism is inherently a left wing ideology because it is government using its force to control business, control people's lives, remove religion so as to make the leader such as Hitler the Supreme ruler of your soul. Hitler used his government to force people to live a certain way. Or you have theocratic governments that force you to believe the religion and is forced upon the population using fear tactics like Sharia Law. This is government forcing you against your individual will to follow what you want. Its left in nature because the individual does not have a choice to live how they want or own what they want.
Hitler was extremely authoritarian with his government and murdered people who didn't follow his government. This is a leftest approach to government and always has been, whether you look at Stalin, Mao, Mussolini, and strict Islamic countries. Hitler was not conservative because he did not allow individuals to practice free thought and did not allow individuals to change how his government would operate through elections. Totalitarian control by a government is always left wing because it's government forcing individuals how to live.