The problem is regarding management as a position of importance that people are promoted to.
This is perhaps one of the single largest failures of our social organization. "Boss" has come to mean "important" or "ruler" instead of being an integral component to facilitate real work. It would be like saying that a switch is the most important and valuable piece of hardware in an organization.
In college I studied film direction and my friend was studying producing and one night while bitching about this exact phenomenon (everyone wanting to be a director or producer because "they're in charge" instead of because they were attracted to the unique specialized work of a director or producer) we settled on the "Doer and Enabler" dichotomy. Directors, Managers, Producers, Supervisors are not Doers, they are Enablers. An enabler's job is to help the doers do. An enabler should be clearing the way, organizing materials and answering questions that doers need answered. A doer obviously actually creates things and does the work.
There certainly are Doer/Enablers, if you have an art director, or a software architect they often start to straddle enabling others to execute their vision while also providing a high level plan--but for the most part management is not a doer, they are an enabler.
However, people generally want more money than they have so the only way to get that more-money is to become a manager. It's stupid. If I was running an experiment I wouldn't fire all of my enablers, I would simply stop making the management position necessarily an upgrade or promotion but more of a crossgrade with a similar payscale.