This is kind of a curious feature of all human hierarchies. Often times, people higher in the hierarchy will not participate in competition of any kind with the rest, since they have so little to win. On the other hand, making mistakes publicly can (and will) cast doubt in their abilities in general.

In my company we sometimes have these fun pub quiz type activities. The higher-ups never participate.

The Mahabharata prominently features Yudhisthira losing a game of dice to his opponent, and Yudhisthira is a demigod, being fathered by Yama.

You're free to leave Buddhism.