[988747]

That's provably false - I witnessed it many times when solving the cube myself. Colored faces determine orientation, in addition to location. In the Rubik solving method that I know (a simple method for amateurs, not remotely close to professional speed cubing methods) there's actually a late stage where ALL the cubes are in their correct locations, except some of the third layer corners might have a wrong orientation - there's a dedicated sequence of turns that allows to solve that.