This seems to contradict itself. You first claim that there's no organization but then you claim billionaires have no power because of the more powerful above them. Hierarchy is organization, so which is it
It really sounds like you're trying hard to define a square circle. Your argument isn't even self consistent because what you described sure sounds like someone has power...
Nope. It's perfectly consistent. No one has much power at all. No one is in charge, there is no greater power sitting above us all calling all (or even most) the shots. To use someone else's term, there is no cabal.
You seem to conflate "no one is powerful" with "no one has any power in any situation at all".