The loop is off in two sections in regards to fading.. Also, considering that the in-game loop didn't have the female vocals, and that section couldn't be edited, it was left in there. But still, I say the attempt was good.
Maybe.. the closest to getting it to the Game's version.. cut off the first 10 or so seconds.. that way it starts immediately.. same for "Battle of your Souls". You get cutscene about plot, pause, then BAM battle time.