I guess I couldnt win you over with the bunny :(
Luckily I had a backup serious reason!
The reason Labyrinth is not tracked on TSC is because you can use air bubbles and respawning enemies to give you an infinite time (and probably score) too.
However in a recorded run using an emulator for a competition like this, this can be circumvented by watching the runs back and using the computers clock or other similar timing device. Not unfeasible and easy to do, the Master Green and Blue Emerald Challenge's used this timing system (and maybe more of them, I cant remember)