One thing to note:
I have had issues with websockets and corporate firewalls. (Using HTTPS helps but not always.)
See https://github.com/LearnBoost/socket.io/wiki/Socket.IO-and-firewall-software https://github.com/sockjs/sockjs-client/issues/94
I assume there aren't as many issues with Server-Sent Events. But I don't know.
That said, WebSockets are tons of fun. I have a little web game that uses websockets (via Socket.IO) (http://minibman.com)