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(sh.itjust.works)
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Imposed or accepted it doesn't really matter, similarly the person I responded to specifically referred to anarchism as nonheirarchical. What you described is communism or socialism, not anarchism.
If we "never see people deliberately leaving small egalitarian societies for larger hierarchical societies," heirarchical structure l society wouldn't exist. Similarly the hadza (an at least claimed non heirarchical/egalitarian society) constantly lose population to "modern" society.
That's communism or socialism, not anarchy.
It's not a puzzle though, a puzzle eventually fits together but anarchy simply doesn't.