Claude Desktop should build this as an interface. It recently gained a lot of useful features that makes managing sessions and working on multiple things very easy. Only thing missing is the inbox now. A central place for summary of everything you are actively working on and what agents need from you.
Yes. Major labs will ship a good UX solution I believe when folks like us experiment enough so they can see where the public edge of the consensus leans towards.
Just like Hermes and OpenClaw are becoming replaced.