By rules, Hamm wins the gold.
If reviewing the video is SOMEHOW allowed to change the outcome, this korean gymnasts will have NO MEDAL. He will recieve +0.1 in starting point and -0.2 in deduction because of four holds.
Therefore, this is no difference, Mamm should keep his gold medal based on rules, honor, and justice.
BTW, I'm no an American, so I don't fall into your FLAG-WAIVERS category.