[BUG] /model switch in desktop app not preserved when resuming session on iPhone via Remote Control

Describe the bug

When the /model command is used to switch models in the Claude Code desktop app, the model selection is not preserved when the same session is resumed on the iPhone client. The iPhone reverts to its default model.

Steps to reproduce

1. Start Claude in Remote Control spawn mode on a Mac Mini (claude rc)
2. Connect from a Mac Pro using the Claude Code desktop app
3. Run /model claude-sonnet-4-6 in the desktop app to switch models
4. Resume the same session on an iPhone client
5. Observe that the iPhone is using the default model (e.g., Opus 4.7) instead of the selected Sonnet 4.6

Expected behavior

The model selection made in one client should be preserved when the same session is resumed on another client.

Actual behavior

The iPhone client ignores the model switch and falls back to its default model.

Setup

• Plan: Claude Max
• Host: Mac Mini running claude rc (Remote Control spawn mode)
• Clients: Mac Pro (Claude Code desktop app) + iPhone
• Platform: macOS + iOS