Work moves around during the day: your desk, the couch, a walk, someone else’s meeting room. The agent’s work should not pause because you stood up.
Every session is a URL, and every URL works on every device. Start a setup run from your laptop, check it from your phone while the coffee brews, pick it up on your desktop when you sit down. Same session, same scroll position, same everything.
The phone view is built for a phone rather than shrunk down from the desktop: chat sized for one-handed reading, a terminal you can follow, controls big enough to tap without aiming. You are not going to write a feature on a phone. You can tell an agent it is heading the wrong way and turn it around, which is most of what supervising from a phone is.