The only thing keeping management jobs from being replaced is the fact that the people in them have power.Anyway, until Claude can beat pokemon in a few hours I'm doubtful the management jobs will be replaced. And even then--they are as much about knowing people than knowing things. I'd feel more confident in the trades that you will be doing the same type of thing in 20 years. But in the knowledge fields, as your skills become automated you can take advantage of automation to have more of an impact.
AI can already talk with confidence about things it has no real knowledge of, it can argue one position one day and the opposite position the next day, and it famously has no soul. Those are all the qualities of successful leaders, whether in management or politics

