"Parade" Skip

I call the long corridor section with all the people looking over you as "Parade".  There's a big skip of the "Two cubes / Four buttons" section before, and the "Maze" section after.

It's really quite easy, (assuming everyone gets the weird sticky-wall physics and it's not frame-rate related or anything)

Firstly, you proceed through the timer-controlled door for a few steps.  The game lags slighty as it unloads the previous sections. This allows us OOB through the entrance of the spinning platforms.  (Credit to MASTAN on steam forums for figuring that out). Now by jumping at and angle from the spinning platforms, and somehow sticking to the wall, we can go through in a nice orientation to drop all the way down to the dark drop (If you did it normally).   Rather fortuitously we're in the perfect orientation to drop straight through the "Maze" section.

https://youtu.be/6fTCa4WcsQ4?t=391

If you land too far forward  you'll hit the "top" of it, and you'll need to move back to find the hole.   If you don't drop through the proper entrace/exit of the "Maze" section, the game won't load the moving platforms section.