I don’t know the person who wrote it, but I know anarcho-communists, and the following in that quotation refers to private property and free trade:
class structures, authoritarianism, hierarchy, replacing one authoritarian system with another.
Don’t be fooled.
Anarcho-Communism versus Anarcho-Capitalism
http://www.youtube.com/watch?v=CmR-rQZ4qF4
Why Hate the Anarcho-Left
https://forum.freecapitalists.org/t/why-hate-the-anarcho-left/10923