The shape of it will look just like a C-major scale, or any other major scale. Of course, in the process you will traverse the same pattern of white/black keys as on a regular piano, so visually it will be different. I guess that is a trade-off that janko makes to stay closer to what people know. But once you know how to play any type of scale, the fingerings simply shift up/down the keyboard to choose the specific scale of that type.
There are other methods of color coding keyboards. Here is an example of coloring a chromatone keyboard (very similar in concept) with multiple patterns:
In a different video, this guy phrased the appeal of these keyboards like this: it's like playing in the most awkward key you can imagine. But then there's only that one key to learn, and all others are just shifted.
edited to add stuff and clarify. sorry, should really take time to re-read before posting. :P
Also the "Muto Music Method": it's not just that the common keyboard finger positions aren't the same in 12 different scales, the notation could also be made without all these # and "b" (sorry HN filters out the flat sign U+266D from the text) and without the shapes of the melodies changing:
