The only game mechanic I want to see Nintendo patent is brawl tripping. Probably not necessary as it seems other fighting games haven't seen the brilliance of such a mechanic, but may as well play it safe in case others become enlightened.
Brawl in general was the perfect encapsulation of what is wrong with Nintendo (though tbf they have course corrected somewhat in Smash Ultimate) - Melee was a game that allowed an incredibly high skill ceiling with it's high speed and myriad advanced techniques, which birthed the biggest grassroots competitive fighting game scene ever. But Nintendo hadn't conceived of Smash as a competitive game and so they went alllll the way out of their way to shut that shit down in the next iteration. Lowered the speed of the game, made it way floatier so combos are harder, ensured there were no advanced movement techniques, and even introduced mandatory bullshit rng like the tripping mechanic.