I was the one guy running on the Wii U version for a while but I switched to PC for the specific reason that the update allowing a certain trick to be used in full game runs wasn't available on Wii U yet (I'm not sure if it is now since I haven't turned on the Wii U version in a while, but the version number at the title screen should say 1.21.4). It's a significant time save for full game runs, so if you want to get into running the game with either Lilac or Carol and that update isn't available on Wii U, I'd reccommend PC.

Also, I believe the timer is very slightly faster on Wii U, counting roughly an extra second every 5 minutes or so of game time.