Would gay Mario trying to find his gay platonic prince friend in another castle be a distraction or an incentive to play the game? I go with distraction.
“Sorry, Mario. The prince is in another castle.”
Is that distracting? A genderswap wouldn’t matter for gameplay. Change the title and alter the character design a little; everything else could stay the same.
Then those of us who for our own reasons dig up the rare stories about saving princes would have increased interest in the game.