[Karellen]

I think the parent commenter's point was that if you change stickers, you can't solve the cube, even if you twist corners. But if you twist corners, you can still "solve" the cube by changing stickers.

i.e. changing stickers is "more powerful" than twisting corners.

[hgsgm]

Stickker lermutation a larger algebraic group. Sticker permutation is S_54. The largest you can get whike still looking like a standard twisty cube.