When I first installed the latest version of node-inspector (0.9.2) running it with 'node-inspector app.js' I had the debugging session opened automatically in Chrome and the app was automatically running at localhost:5000.
Now running the same command I just get this:
Node Inspector v0.9.2
Visit http://127.0.0.1:8080/debug?port=5858 to start debugging.
node-inspector was never opening Chrome. It was always starting the backend web server only.
You should use the command
node-debug instead. This command will start the backend, start the application in debug mode, and open the browser for you.