Hey folks,
First off, it turns out local multiplayer has been broken for the last week or so. When I launched the Oculus update, I accidentally left in half-finished code for the local multiplayer revamp, so it broke it for a while.
Anyway, on to the good news! Local multiplayer is now fixed, and is much more versatile. Also, this update enables local multiplayer on the Oculus Rift version of the game.
When playing with more than one player, you'll find the added 'swap player' option in the main menu, as seen here:
Hitting this will swap to the next player, saving all progress that the current player has made. This means that you can choose to swap players after each hole, after each course, or at completely random times, and have it all work smoothly.
Happy minigolfing!