This is one of the worst article I read on this topic. The author is confusing the structure (pyramid versus network) with the type of leadership (authority versus direction and autonomy).
This article confuses a bunch of different concepts. For example, the "hierarchies of competence" could be considered what was called "matrix management" back in the day.
But overall the message is pretty clear: is your organization top-down or bottom-up? How do decisions get made, and who gets to make them?
whew… I was worried I was going to be the only one to hammer the article. Fluff pieces like this are the reason I stopped reading business advice books or articles altogether.