Basically for both Sailor Moon and DSBH the term "Super-Dimensional" is meaningless, as it can be just a synonym for Higher-Dimensional, a "bigger" space-time, a higher plane and so on.
It does not mean necessairly that it transcends the cosmology.
Nah that's a big ass assumption lad (even from Eggman lol). Not only a higher axis above time was never mentioned in the game as far as I am aware.
Plus iirc:
- Solaris' whole existence relied on a flame-thingy which exists in the universe and blowing it off caused a time paradox.
- Eggman just said a big bullshit about the anchored thing, as the light shells meant shit and his weakpoint was just the consciousness.