I don't think this workflow really solves the core issue for the author, which seems to be context switching. It reduces the friction to providing the agent with an answer, but coming up with a considerate answer itself is the hard part IMO.
Regardless, the workflow outlined here sounds very similar to Plannotator Inbox! I've been trying it out for the last week or so, and it seems like it might fill the tooling gap the author talked about.