Remote Control: let the local terminal attach to a session started from the phone

With claude remote-control server mode I can start a new session from my phone, but when I get back to my laptop there's no way to attach my local terminal to that session and keep going. Driving a locally-started session from the phone works both ways; the reverse doesn't.

Could the local terminal attach to a running server-spawned session, so the handoff is bidirectional?