I don't know why we need a term like "Async AI programming." this is literally what you would do if you were a Tech Lead directing a team of other developers. You define what you want and hand it to one of your devs.
This is just being a TL. the agent is an assistant or a member of the team. I don't know why we need to call it "Async AI programming", unless we want to shy away from or obscure the idea that the agent is actually performing the job a human used to perform.