How is this different from sshing into a server and attaching to a tmux session? I don't see the benefits in switching over.
So I will start a workspace for each different thing I'm working on, label it "Studio Shed Packet", "Teapot game", "Mux experiment". Then in each one I run a Claude Code. Then I can see the status of my Claude Codes just by glancing at the sidebar, rather than having to switch between screens to see what is waiting next.
I've been using it around a week so far.
Claude code exposes a bunch of hooks you can use to have tmux commands execute. This is invaluable if you are multi-tasking and need to see at a glance what needs attention.