The only big difference in my playthrough was that I pressed the switches as I was normally completing each level, I didn't wait for the red room to press them.
Except this which may be the reason, there was still ONE little detail, while playing in the exact order in the image:
I literally forgot about the scroll in the green world, and I didn't collect it, not even after getting 4 stars in the secret blue world.
You can apparently get in the blue world without the scrolls, though I still don't surely know if I have completed the game or not.
