Chess is a game that can be played perfectly. There is no perfect Hockey game. If you get two super computers to play chess against one another they will draw a majority of the time, I think it is a testament to the skill of both players that they drew 12 games in a row.
That's a conjecture. Nothing more. Nobody knows whether it is true! It is possible that a perfect player playing White may make you lose every time. It's even possible (though highly doubtful) that this holds for Black instead.
You're right that in theory nobody has proven whether chess is won, lost, or drawn with perfect play. But all available evidence, as well as my personal intuition (and that of almost all top players), screams that it's drawn.
