If you think of management as a systems problem where your task is to design and maintain a system where it’s a) easy to get meaningful work done and b) is fun to work in and c) you will be recognized for your good work, then the relevant experiences for management are to a) work in a company and find out why it’s hard to get things done or b) run a company and carefully observe how you are screwing it up.

If you think that you know what you are doing without these experiences, you are likely delusional and would have been better off just drinking beer rather than getting an MBA and drinking beer.