I think you'd like this post I wrote: https://neilkakkar.com/agentic-debt.html , parts of why I think we wouldn't get automated away just yet. It might be true eventually - and when it does happen, I'm sure I'll find something else to do, most probably up the stack. Managing for now seems like a terrible task for agents. I need to guide them to the right solution.
_Parts_ of what I write are drudgery, which gets automated away. The "why" we talk about in sync, so it's much less of an issue in general.
When I say management, I mean more like a staff engineer or a tech lead, rather than a traditional manager.