If for example, the bottom-left square is light instead of dark AND we place the queens in their colors:
By affect I mean psychologically, etc., because it is pretty obvious that everything you can do in a normal board will also be possible to do here and non-humans shouldn't care if they are swapped or not.
Also, note the word gameplay in the title, if the players are required to write down the moves, that will definitely affect them, but lets suppose someone else will do that for them and they will be 100% focused in the game.
- Is the gameplay affected?
- Are there any studies about this?
- Can this be used as a technique to see things you don't normally see?
Anecdotally, I once played in my school the final match with human pieces in a 10m board with the position of the king and queen swapped. The confusion arose because it was ambiguous which were the light squares as the fills were made with white chalk on a dark-green floor, allegedly the 'light' squares were the ones filled with diagonal stripes because "they contained more white". The stubbornness of the event organizer was big, he didn't want to make this last minute change and we ended up playing in a normal board without really looking to the human pieces because they were wrong.