We are putting too much into the word "management"
- supervision (did you turn up on time, are you capable of doing the basic functions needed)
- coaching (this team needs someone to do X, but I have two Ys. One goes or one changes)
- administration (budgets, projects, scheduling etc). Certainly the part most at threat from software - looking at you Project Manahers
- strategic decision making (yeah that's the part everyone wants to do because it's the big bucks with years before anyone can judge you. It is also oddly under threat - not from software but from voting - my guess is most strategy is going to be voted for in twenty years. don't like the strategy - binding vote at the AGM for new Board. would save Elon the effort of buying twitter)
All four of these (and I am sure MBA text books have better selections) are wildly different, at different levels of an org and need different skill sets and people. just thinking we could ever ask one person to get on with it all is crazy.