That's not what being politically right or left entails.

I am using the classic definition of the political spectrum, which was defined by the French Revolution. The Egalitarian revolutionaries sat on the left side of the hall and the institutional nobility on the right. I reject the Cold War era Capitalist propaganda doublespeak re-definition in which it means “whatever rightists want it to mean to more easily demonize the enemies of Capitalism.” I also reject the notion that Marx, who was born decades after the Revolution, was the only leftist philosopher or that he, ironically, would hold a monopoly on leftism.

You seem to have accepted the Capitalist fallacy that social and economic policy can be separated, or that power and wealth are not one and the same. An economy controlled by a few is not leftist, it is feudal and rightist. While the political spectrum is not a binary, leftism always aims for egalitarian ends. Egality involves equitable sharing in authority and economic power. One who shares in an economy but holds no power does not share in the economy. One who shares in power and is destitute does not share in power. These things are at odds. They are fundamental opposites.

What does this even mean?

Tankies support consolidation of power (both “violent” and “economic” authority) into the hands of a few. This is rightist no matter the justification. Benevolent authoritarianism is still authoritarianism and authoritarianism is always rightist (consolidation of power/authority/wealth). They use leftist terminology to justify their authoritarianism, but it does not change the fact that the means and ends are authoritarian in the extreme. If only a minority have authority (control of violence/force) then those few also have complete ownership of the economy, which is the opposite of leftist. If only a minority have wealth (control of the economy) then those few also have the power to buy authority. There is no difference between social power and economic power. Leftism requires egality in both domains or else it dies.