Thinking about the  trend of traditionally hierarchical organizations going flat. Remembering how much I like the term "angle of repose."
Think there's something here.
It seems likely that there is some angle of repose for hierarchy in an organization. I hesitate, though, to suggest (literally or figuratively) that highly hierarchical organizations can't support themselves/will tend to collapse under their own weight. That seems a bit too on-the-nose, and anyway the analogy gets really complicated really quickly. There are too many factors to consider in an organization's structure, and each must be considered against an arbitrarily large set of organizational purposes & principles.
Still, it's a fun comparison to consider.