I volunteered for a non-profit where we had a model of "accountability" that worked very much this way. Leads weren't told how to do it, they were just given the accountability of making sure it was done and the autonomy to decide how it happened. If a lead quit, that accountability fell to that lead's lead. This led all the way up to the President of the org who would be accountable for everything should everyone qu…
But eliminating managers cuts out the promotion paths for people in a large organization, and after a couple years it becomes a big problem.