I still agree with Jira's original post-- going to a public game and cutting and pasting the number in the address bar seems a very roundabout way of doing things. It's also a way that isn't intuitive-- many people won't figure out on their own that it can be done.
It would be good if there were a game number lookup integrated into the webpage itself-- to make it easier to use, and to make it clear that such a search is possible.
Another thing that would be nice would be a link to a player's public games from the "profile" window.