The story hasn't progressed since XX, and #Reload's was the same story mode added to the Xbox and PC versions of the game.
The Japanese ps2 AC version was buggy, those bugs were fixed first in the Japanese Wii release, then the US version of AC for ps2. I think there's a Japanese version now that has the bug fixes also, but I'm not totally sure at the moment.
But yeah, US ps2 version is the ideal tournament version at the moment.