Management is following a defined repetitive process to coordinate a team across some or all of projects (who should do what and how long should they spend on it), skills (is their work up to scratch and how can they improve) and HR (do they need to be paid more to not quit and do they need to be told to take sick leave to recover).

"Leadership" is more LinkedIn thought leadership BS but I think it's a useful distinction to make from management and is more about inspiring people to work towards a common goal, making difficult decisions with imperfect information and finding creative solutions to business problems.

To me working with AI does feel more like the latter, there isn't yet a clear path and set of processes for everyone to follow and getting the agents to do what you want does take similar skills in terms of inspiration (finding the right prompt) and creativity (figuring out how to join all the shiney new toys into reliable systems)