There are several very different topics here though. One is rejection of hierarchy, which is not accepting an order of society based on some sense of the sacre

There are several very different topics here though. One is rejection of hierarchy, which is not accepting an order of society based on some sense of the sacredness (hier(o-) denotes holy/sacred). In this sense, you can reject hierarchy but still accept some social organigram. For example one where every individual holds a position based on continuously evaluated results compared to clearly defined expected outcomes and extremely fluid social mobility. It’s permitted to doubt that such a human society ever existed so far. An other topic is uncentralized/distributed social organization. They are not necessarily incompatible with behavior of social apes. But it’s probably far harder to build, as it requires a stable equilibrium of ability for each party to use brutal force to disband any particular will to reign through threats from other nodes, and diffuse education means to spread the will to refrain from such a nefarious behavior in each node. The distribution of power is rather independent of whether the society is using some hieratic characters, like brainwashing through worship of some divinity and its gospel, or stricly secular means, like fiduciary subjugation through money.