Remote control dropdown shows identical names for all instances

Problem

When running multiple claude remote-control instances (e.g. 7 for different workspace subdirectories), the Remote control dropdown (bottom-right of claude.ai/code) shows all instances with the same label — e.g. Mac claude-workspaces — making them indistinguishable.

The left sidebar correctly shows distinct names from --name / --remote-control-session-name-prefix, but the dropdown used to select which remote instance to connect to does not.

Screenshot

The dropdown lists 7 entries, all reading "Mac claude-workspaces 1 of 32". Meanwhile the left sidebar correctly shows: workspaces-proteus, boson-private, jb, marketing, openboson, germ-line-proteus, boson-ceo.

Steps to reproduce

1. Run multiple claude remote-control instances from subdirectories of the same git repo, each with a distinct --name:

``bash
cd ~/workspaces && claude remote-control --name "proteus"
cd ~/workspaces/marketing && claude remote-control --name "marketing"
cd ~/workspaces/jb && claude remote-control --name "jb"
``

1. Open claude.ai/code
2. Click the Remote control dropdown (bottom-right)
3. All instances show the same label (hostname + git repo name)

Expected behaviour

The dropdown should include the --name value (or --remote-control-session-name-prefix) so the user can distinguish between instances — e.g. Mac proteus, Mac marketing, Mac jb.

Environment

• macOS 15.4 (Darwin 25.3.0)
• Claude Code CLI (latest as of 2025-04-07)
• 7 remote-control instances via LaunchAgents