Take a look at this tournament. It started with 20 people. Notice ernshack’s path. After four rounds he’s only played two games. In contrast, Melinde-Mari and I have played four games.
The reason is in rounds 3 and 4 we had an odd number of players remaining, he he was the odd man out in both cases, getting a free pass. I think it’d be better if the tournament system would not pick someone to be odd man out for a round if any other players have been odd man out fewer times.
So in this case, ernshack in round 4 would have been assigned to play me or Melinde-Mari. Then when we get to the round 5, the number of rounds each player got a pass would be equal or a difference of 1 round, but not a difference of 2 rounds.