Yes, because I'm not talking about "how it came into existence," I'm using the actual textbook definition of the word.

There is a LOT of -archy overhead to the Internet.

Sure, but I think that still fits a common definition of anarchy. The idea isn't "chaos," it's "hey, the thing still works even though there isn't a clear hierarchy."

Just because you don't see it doesn't mean it isn't there. That's like arguing "schools are anarchy, I see no hierarchy on the playground over there"