No, this isn't how power works. Money/wealth is economic power, which can be grown through the application of renewable resources (e.g. human labor, electricity, resources that can be grown like wood) to build that which is more valuable to the participants of a transaction than the sum of its parts. As more wealth is created, more areas of power are created. If you disband a hierarchy (e.g. a company goes bankrupt/out of business), power hasn't been diluted back down to the individual level, rather power has been destroyed. Hypothetically, if humanity went extinct tomorrow, there would be no power left at all.

Wealth is not power, but a means through which power is applied. It's not the only one, of course.

Disbanding a hierarchy can be achieved in many ways, the consequences being as varied.

That is a symplistic view, two people can achieve a lot more together than individually and today's society can achieve a lot more than prehistoric humanity.

I can get fruit and spices delivered to me that a Roman emperor would barely be aware of, and I can do so without leaving my bed.

The issue was power, not cooperation.

Not sure where modern logistic chains come into play when talking about power.

If power is not the ability to make things happen then what is it?

Power is a boot stamping on a human face — forever.