If it's purple with trippy lines and the road seems wavey when your in it.... It has had LSD.. Jokes I honestly have no idea.... If the LSD is standard for non AYC cars I guess the AYC indicator would be missing I guess,
Josh if you PM one of us the VIN of the vehicle in question we can look it up and tell you what it came with. Although if it was replaced later on, only physical inspection will be able to determine that...