docs: add local echo feature to README mobile section

Highlights zero-latency typing as the headline mobile feature.
Adds comparison table entry and detailed feature breakdown.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

CLAUDE.md

@@ -35,7 +35,7 @@ When user says "COM":
 1. Increment version in BOTH `package.json` AND `CLAUDE.md` (verify they match with `grep version package.json && grep Version CLAUDE.md`)
 2. Run: `git add -A && git commit -m "chore: bump version to X.XXXX" && git push && npm run build && systemctl --user restart claudeman-web`
 
-**Version**: 0.1546 (must match `package.json` for npm publish)
+**Version**: 0.1547 (must match `package.json` for npm publish)
 
 ## Project Overview
 

README.md

@@ -348,9 +348,22 @@ claudeman web
 
 ---
 
-## Mobile — The Best Way to Use Claude Code on Your Phone
+## Mobile — The Best Claude Code Experience on Any Phone
 
-**Forget terminal apps.** Claudeman's web UI gives you a full Claude Code dashboard on your phone — real-time terminals, swipe navigation, smart keyboard handling, and quick commands. Just open your browser.
+**Forget terminal apps.** Claudeman gives you the most responsive Claude Code shell ever built for mobile — with **local echo** that makes typing feel instant, even over high-latency connections.
+
+### Local Echo — Zero-Latency Typing
+
+When you're accessing Claude Code remotely (VPN, Tailscale, SSH tunnel), every keystroke normally takes 200-300ms to echo back from the server. Local echo eliminates this completely:
+
+- **Instant character feedback** — keystrokes appear immediately in a DOM overlay that perfectly matches Claude Code's terminal rendering
+- **Full editing support** — backspace, retype, correct mistakes before sending
+- **Input capture mode** — characters are buffered locally; only the final edited text is sent when you press Enter
+- **Persistent across reconnects** — unsent input survives page reloads and SSE disconnects via localStorage
+- **Block cursor** — pixel-perfect replica of Claude Code's native cursor
+- **Enabled by default on mobile** — works during both idle and busy sessions
+
+> *Built for real-world use: Thailand → Switzerland over Tailscale, 200-300ms RTT, typing feels like localhost.*
 
 <p align="center">
   <img src="docs/screenshots/mobile-main.png" alt="Mobile Dashboard" width="280">
@@ -362,6 +375,7 @@ claudeman web
 
 | Terminal Apps | Claudeman Mobile |
 |:--------------|:-----------------|
+| 200-300ms input lag over remote | **Local echo — instant keystroke feedback** |
 | Tiny text, no context | Full xterm.js terminal, responsive layout |
 | No session management | Swipe between sessions, tab badges show status |
 | No notifications | Push alerts when Claude needs approval or goes idle |

package.json

@@ -1,6 +1,6 @@
 {
   "name": "claudeman",
-  "version": "0.1546",
+  "version": "0.1547",
   "description": "The missing control plane for Claude Code - run 20 autonomous agents with real-time monitoring and session persistence",
   "type": "module",
   "main": "dist/index.js",