There is nothing real on Facebook, but there are certainly representations of actual anarchists on Facebook.
Did you expect we'd all be so pure as to never have surfed the social network, tasted Starbucks coffee, or eaten McDonald's Fries?
We can at once attack that we hate, and also be completely reliant or enmeshed with it. We might or might not hate ourselves based on on this and our particular perspectives on compromising our beliefs (and sometimes even that is a reaction to our learned values around that shit).
It seems as if that would be obvious, though. Is there a question I am not understanding?