Reloading the area after putting the metal emblem in to open the staircase can save around half a second to a whole second if done fairly well. https://gfycat.com/NaturalFlashyBluefintuna (I did not originally find this and I did forget who originally found this small skip)

I found the Skip doing Original Game, since the Floor was an own room too, making the Skip in Original way more OP.

However, Sticky Key Glitch replaced the skip in OG.