I think the word anarchy is bad branding. (Though good branding is impossible when the king want his citizens to hate you.)

From what I understand, the main goal of anarchy is to remove the system that separates us from power. For example, representative democracy makes it so you just go “pretty please represent me” without having any direct agency over the world around you.

Anarchy is not “remove all the rules”.

Edit: if there is a system that facilitates personal rights and agency then it is not necessarily against anarchy.