So check out the World and show me a Nation that is not ordered by authority.
So we basically have democratic authority and order, or tyrannical authority and order.
And occasionally some Nations descend into a sort of chaotically ordered multi-authority. Somalia for example.
If two guys, a sharp stick, and a demanded behavior is authority then there has never been a time without authority and never will be. That is quite besides the point though, the issue was not whether people claimed to be authorities it was you saying:
Anti-authoritarian is authoritarian.
Authoritarian, the "arian" or "ite" suffixes indicate that it is some kind of purportedly principled political or ethical treatment of various propositions.
A fruitian probably isn't someone who claims there are only fruits and an anti-fruitian is probably not someone who claims there are no fruits.
Whatever you define as an "authoritarian" an "anti-authoritarian" isn't the same thing it's the opposite. If no obvious opposite exists the axis of comparison which results in the greatest negation defines the opposite.
A) If an authoritarian is someone who wishes to impose their personal values on others, then an anti-authoritarian is someone who does not wish anyone to impose personal values on others.
B) If an authoritarian is someone who is willing to use force to impose a moral code, then an anti-authoritarian is someone who does not wish anyone to use force to impose a moral code (pacifist).
So in whosoever's head exists a notion of righteousness, also exists a notion of authoritarian superiority.
This implies an even more unusual definition of authoritarian.
C) If an authoritarian is someone who believes in the superiority of their morality, an anti-authoritarian is someone who believe in the superiority of no morality.
A very useless definition, since the human mind is hardly capable of purging itself of moralization and it is in the definition of "moral" that it is superior to the immoral.
Much like the to oft-relayed "the only thing I know is that I know nothing", but if that's all he knew he would be a poor philosopher and if that's all mankind knew it would have died a long time ago.