The last thing institutions of any kind needs is more managers. What everywhere needs is more leaders. Managers do things right. Leaders do the right thing. Managers push involuntary action. Leaders push voluntary action. You want to be with a leader. If you want to be part of something bigger than you and help others grow then you follow a leader or become that leader. You lead or become a manager.
Are managers needed? I'm not convinced. It depends on the worker's attitude and whether they want to be a part of a team focused environment or authoritarian environment. How many decision makers do we need in any organization? CEO, VP, middle-management, middle-middle-management, supervisor, foreman, floor manager...how granular do we really need it? For decades employees have been fed up and run down by this model. The number one fight companies have for wanting workers back in the office after 2020 is that managers are afraid of not having control over employees like they once did.
Perhaps it's your hiring process that's the problem. You get a pool of 10 people to choose from and you find that none of them match what you are looking for. Do you keep looking or force a choice so that you can fill the empty seat? Do you keep looking for people with skills that are easily taught and ignore the skills that are hard for people to obtain?