To say that there is no difference merely because a bit for bit copy is being made is difficult to sustain. This argument should apply to all things digital. With this logic, all CD players should sound the same, and all digital cables since it's just bits that are being moved around. Well, we know that's not true, because the timing of the bits as measured by jitter can cause CD players to sound different.
There actually is no difference in a digital recording and a digital copy of the same digital recording....jitter and different sounding CD players come from other factors like the differing clock accuracy, power supply and D to A circuitry between players. This has been proven many times over. Digital data storage is the basis for banking, communications and a whole host of modern technologies...digital data correctly copied (without errors) will perfectly preserve the original digital data - no loss and no difference.