I have two main objections to this line of thinking:
1. Even if a tendency or behavior can occur in "nature", that doesn't necessarily make it correct. By that measure murder, infanticide, rape etc. should also be considered acceptable since they occur in nature (both with humans and animals).
2. If you take a look at smth like The World Until Yesterday or other similar work it will become apparent that the kind of large scale hierarchies of power present in the modern world are relatively recent constructions. To me they're more a hallmark of contingency and deliberate human choices, not of "nature". If we want to make a less hierarchical society we can, it's in our power to change the design of society (to a significant extent at least).
2. I agree that large scale beauracracies are not in the best interests of humanity. I would argue for hierarchy, with less power the higher up the chain you go. E.g. Local governments should have more power than federal/national governments. But that doesn't mean there shouldn't be a national government.
I can see how one can see it that way, it is probably what those who rigging the game were thinking when they first started, and like the saying goes "those who play a rigged game gets stupid over a long period of time". That's probably why empires collapse, too much corruption and too many people playing the rigged game. A rigged game kinda corrupt workability of the whole system. The short term advantage may not be so good in the long run.
In a very centralized government systems you can't make top management accountable. Moreover, in such systems top management actually support master-slave relations between people, like between men-women, rich-poor, etc. It's then easier to hold power.
This isn't really true for most large firms. Since people are dependent on their wages, they are generally subjects to their boss' whims. You just have to look at Amazon workers wearing diapers to realize that workers don't generally get a say, even if they are not technically slaves.
The observation of a behavior or inclanation in the wild is not a good basis for the structuring of a civilization.