Correct. The current game key is always available by providing the correct game code instead (ie, "nba", "nhl"). If you wanted to use the YQL console, you'd query:
select * from fantasysports.games where game_key="nba";
http://developer.yahoo.com/yql/console/#h=select%20*%20from%20fantasysports.games%20where%20game_key%3D%22nba%22%3B
For reference, nba is 304 and nhl is 303.