"I purchased a 'keyless' keyboard to avoid confusion if I happened to look at the keyboard. For example why did I just press "S" but type "R"? It would be very confusing for my brain."
That confusion is precisely the stick that keeps you from looking at your keyboard. If I glance down and get confused, that stops me looking down much faster then if I glance down and just don't learn anything. At least, that's the theory.
Note, just in case it wasn't clear, by "rearranging" I mean moving the labels and not moving what key location generates what input.