The better player will be the one who won by whatever criteria the event has put into place.
that you are officially better at taking foul shots than Michael Jordan.
I give up. You clearly can't or won't understand the point I'm trying to make and I'm not going to bother spending more time and energy trying to explain it.
When you beat Michael Jordan, did you not "[win] by whatever criteria the event [had] put into place?" You literally just said that fulfilling that condition makes the competitor who does so the better player, didn't you? So you must be better than Michael Jordan (at least at single-elimination foul shot competitions) You can tell me if I am wrong and your words don't mean what they actually say. I wouldn't be asking if I wasn't interested.
I think the difference between us is that I don't believe I ever have the right to tell anyone, even myself, that I am a better player than anyone else, but that I do have the right to prove that I am better than my opponent in any given game by defeating them within the rules.
You believe that regardless of the results, you get to personally determine who is the better player, and results only matter when certain unwritten (imaginary) rules are followed.
Do you honestly think that winning proves that you are better than someone else? So test that conclusion. The two hypotheticals are the same:
Is the runner who did not trip a better runner?
Are you better at foul shots than Michael Jordan?
It has nothing to do with my personal opinions. It is perfecly reasonable for someone to be objectively better at something than someone else. Skill can be perceivable.