*Which isn't to say "anarchy" is a useless word. It's useful in its colloquial, everyday sense:
an·ar·chy
ˈanərkē/
noun
noun: anarchy
a state of disorder due to absence or nonrecognition of authority.
"he must ensure public order in a country threatened with anarchy"
The big problem with anarchy is that many of its types are inconsistent and amount to "I should be free to tell others what to do". As such, you are correct that it is mainly of use only colloquially.