Got a new HDMI splitter, so I tested it out on one of my all time favorite games. Seems to work perfectly!
This is the Wii Virtual Console release.
I should also point out that the Wii U Virtual Console version of the game is considerably better than this one. The controls can easily be remapped however you like and it doesn't have the awful input lag that plagues the VC versions of Super Mario 64 or Donkey Kong 64. Check it out!