Nah, that doesn't fit the style of the level. The player thinks he is on his right track when he finds the maze, but gets distracted when he hears about the super secrets, which are the only way to finish the level. He still thinks there is a way to open the red door, and will replay the level, which is the whole idea...

And besides that, finally getting to the two bilsys will most likely get you killed, meaning you have to start the level all over again...