The anarchic aspect comes from the void in accountability that comes with large bureaucracies like states.
It is this dysfunctionionality that makes free market oriented societies that place greater limits on the power of the state generally more prosperous than societies with significant government intervention, despite the latter theoretically being better able to address a litany of collective action problems.
I get what you're saying and agree. But even theoretically a corporation is much better at dealing with collective action problems. Setting up a new entity that looks a lot like a corporation is the standard approach to moving a needle.
The government doesn't have the bandwidth to move on collective action problems that people don't already have figured out by some other means, voting isn't a great tool for doing more than the really basic stuff like keeping a military and police force functional. And even for things like the military, private sector institutions are better at building all the components.
We have corporations (using a very wide definition that includes non-profit entities that are legally similar) that tackle every problem under the sun. You can't expect beat an entity that exists for the sole purpose of addressing a problem with a general purpose schizophrenic institution like a government.
Anarcho-tyranny means a government that doesn't enforce any of the laws that protect people, only enforces laws that protect itself. So it's like the absence of a government in the sense that a government is supposed to be tasked with protecting people's life and property.
Well that's objectively poor phrasing, then. 'Anarcho-' as a prefix refers to Anarchy, which refers to a society being in a state of not having authorities.
You could argue that having authorities that abuse their authority to self-serving ends renders that authority illegitimate, but by the admission of Anarcho-tyranny's own proponents (as a theory), they still recognize the existence of these "authorities", and just contest the governance decisions made by those authorities.
That's certainly a bad government, but to call it anarcho-anything is just downright confusing.
If you want a real understanding of a word, look to its etymology.
Anarchy
1530s, "absence of government," from French anarchie or directly from Medieval Latin anarchia, from Greek anarkhia "lack of a leader, the state of people without a government" (in Athens, used of the Year of Thirty Tyrants, 404 B.C., when there was no archon), abstract noun from anarkhos "rulerless," from an- "without" (see an- (1)) + arkhos "leader" (see archon).
From 1660s as "confusion or absence of authority in general;" by 1849 in reference to the social theory advocating "order without power," with associations and co-operatives taking the place of direct government, as formulated in the 1830s by French political philosopher Pierre-Joseph Proudhon (1809-1865).
It is this dysfunctionionality that makes free market oriented societies that place greater limits on the power of the state generally more prosperous than societies with significant government intervention, despite the latter theoretically being better able to address a litany of collective action problems.