So, you can clip through King Dice with the method shown on video. Normally you are prevented from jumping when you're too close to him, which makes impossible to clip the same way you can on the Tutorial target or on the islandwall in Treetop Trouble, but by using Super I and dashing right at the end of the animation you can still clip past him.
Unfortunately, this is utterly useless. The loading zone is not present until all bosses in the isle have been defeated, which means that this can't be used to skip bosses. So unless another separate glitch is found to activate that loading zone before intended, Die House Skip is impossible.
I used cheats to have a full super meter, but this is fully possible in regular gameplay thanks to coffee.
The only categories that would've been affected by this are Simple% (AKA reaching hell) and likely Low% Simple (AKA reaching hell with the lowest possible completion). For higher difficulties finishing the game without beating all the bosses would also require finding a way to skip King Dice's fight.