You would see the same abnormally-distributed-outcomes in any winner-takes-all game where skill is normally distributed, and the higher-skilled-player always wi

You would see the same abnormally-distributed-outcomes in any winner-takes-all game where skill is normally distributed, and the higher-skilled-player always wins. The fact that skill is normally distributed but outcomes aren't, doesn't imply in any way that it's due to randomness. In fact, the less random the game is, the more abnormal its outcome-distribution would be - the best player would win every single championship despite being just slightly better than the others.