Capitalist anarchy, which is what is described here, is indeed nonsense.
The much more common notion of anarchy, socialist anarchy, actually advocates for smaller societies and more localized leadership (e.g. at the city level). Some role for a kind of state (e.g. an alliance of local micro-states) is often preserved, especially for military and diplomatic purposes.
The much more common notion of anarchy, socialist anarchy, actually advocates for smaller societies and more localized leadership (e.g. at the city level). Some role for a kind of state (e.g. an alliance of local micro-states) is often preserved, especially for military and diplomatic purposes.