Checking another two 21-pointers yielded a more reasonable number of equivalent rolls.

Game 1   35, 44
Game 2   52, 52
Game 3   54, 55
Game 4   53, 55
Game 5   64, 53
Game 6   32, 53
Game 7   51, 54
Game 8   23, 62
Game 9   42, 43
Game 10   41, 43
Game 11   31, 32
Game 12   61, 11
Game 13   46, 52
Game 14   62, 62
Game 15   63, 65
Game 16   13, 31
Game 17   65, 66
Game 18   65, 63
Game 19   35, 63

Game 1   34, 35
Game 2   54, 65
Game 3   45, 64
Game 4   51, 52
Game 5   14, 51
Game 6   14, 42
Game 7   61, 41
Game 8   16, 26
Game 9   23, 23
Game 10   13, 41
Game 11   35, 63
Game 12   52, 54
Game 13   42, 43
Game 14   25, 62
Game 15   65, 66
Game 16   63, 65
Game 17   65, 61
Game 18   32, 43
Game 19   34, 63

So the coincidences can be readily not found too.