By saying "power structure of leaders" you're conflating leadership with power (and governance does not make us any more rational). For example, tribal "war chiefs" in indigenous groups were often seen as analogous to monarchs because that was our Western frame of reference at the time, but in practice their leadership was entirely consensual: if they were no longer needed, they abandoned their role and if their leadership was not considered satisfactory (i.e. poor performance, erosion of trust or abusive behavior) they were readily replaced.
Human groups are first and foremost consent seeking. In order to override consent, you need violence. Any governance that is not consent-based (not consensus-based, those are different things) requires a threat of violence to persist itself. Whether it's the direct threat of the king's men burning down your cottage and killing your family or the state sending armed law enforcement officers to take away your things and incarcerate you or the indirect threat of your employer firing you and taking away your source of income that enables you to have a roof over your head and food on your table.
It's worth remembering that most still widespread beliefs about animal hierarchies are likewise tainted by the power structures in which they were first described. I think the most infamous example is the myth of "alpha wolves" that even its author now regrets ever having published because it was based on a bad interpretation of the behavior of wolves in captivity (i.e. a man-made artificial environment), not the natural group dynamics of wild wolves.