I think that’s a slight pun.
The “-archy” part comes from the greek for “to rule/command”. Monarchy = rule by a king, oligarchy = rule by few, etc.
And the “an-” part means “not” or “without”. So anarchy technically means “not ruled” or “without rule” - but if things are still being ruled, it would still be an “archy”, not a “not archy”.















Aside from purely theoretical, philosophical interest (suuuure), it doesn’t really matter, does it?
“Ah yes, now that you showed us the opinion of these online strangers on your phone, we will be ok angering your father - the man who famously hires ex-legionnaires for protection of his family - for a little hanky panky.”