Will Arkham Asylum the game meet these the standard of the comic? I don't think so, but I have to say the signs look positive; the addition of Kevin Conroy and Mark Hamill as the voices of Batman and the Joker respectively is a great move that's sure to add plenty to the story. There's also plenty of hidden objects and unlockables that will apparently delve into the history of Arkham Asylum. I have to say I'm a big Batman fan and I have pre-ordered the game, so it's definitely been a game I've been looking for. But anyone with even a passing interest in either the game or the Dark Knight should check out the book, Arkham Asylum: Serious House On A Serious Earth.
(If you're looking for more recommendations for Batman Books, try The Long Halloween and Dark Victory by Tim Sale and Jephy Loeb, Batman 100 by Paul Pope, Year One by Frank Miller and Joker1 by Brian Azzarello.)