This sounds suspiciously like the law of averages. The reason that people lead within a hierarchy is not because they have the "initiative to lead", it's because they've been assigned to lead. Even if they lose any "initiative to lead" or lack any competence in leading, they will continue to lead as long as the person who pays the bills says so. This could be because that leader has a great track record, because the check-signer or someone they trusted sensed a special spark in that leader, because the leader is someone's nephew, or because the check-signer and the leader like the same music.
That's what hierarchy is - it's being named the leader. To tightly couple that with "leadership qualities" is a sort of capitalist religion.
If there's no hierarchy, maybe one person will lead on this, maybe another person will lead on that, maybe one person will be the nominal leader all the time, but actually materially limit their leadership to orchestrating the activities of a bunch of other leaders. It's not organization that's bad, it's arbitrary entitlement that's bad.
The sentiment you express here is "there will always be a King." No, there won't always be a king.