Trump appears to consider running for POTUS to be on a par with competing in a beauty pageant (something he actually knows a little about). Being crowned the winner declares to everyone that the judges thought you were the prettiest and the hottest. The actual job of being a beauty queen just involves making a lot of public appearances and being admired — tasks that Trump would enjoy.
However, even a beauty queen would take her crown and prize money, do her public appearances for a year, and just shut up. If it turned out that a majority of the judges chose someone else instead of her, and she only got the crown due to a complicated calculation system with some faulty weighting, I doubt she would loudly demand a commission to look into the matter just to prove that most of the judges voted for her after all.