Do you have joycon? Do they work?
Do you have any other controllers paired? If the controller you're using is connected as player 2, it might not control the game.
A silly thought: as it's a Platinum game, IIRC you must press ZL+ZR / L2+R2 to get past the title screen. If you press start or A, it won't do anything. So maybe the controller would work, just using a different button?