Some thoughts:
At 10k+ users, with 20-30 second response latency, you likely hit file descriptor limits if using just 1 network interface. Consider a solution that uses multiple network interfaces.
Your description of your request/response can be handled entirely with standard Servlet 3.0, standard HTTP/1.1, Async request handling, and large timeouts.
If your clients are web browsers, and you don't start sending a response from the server until the 20-30 second window, you might hit browser idle timeouts.
Atmosphere and Cometd do the same things, supporting long duration connections, with connection technique fallbacks, and with logical channel APIs.