There definitely could be something to this.
My father, and a friend of mine, were air traffic controllers. They both told me that you generally want a smaller screen so you can see everything at once.
The friend was also a chess player, and we talked about how big you wanted the chess app or browser to display the board. It does seem to make sense that if it is smaller, that you can see everything, and thus, not miss something that is in your periphery vision.
I can very easily see that translating to a larger physical board that you see the pieces on an angle, if playing on a computer is your normal way of playing.
Of course, there may, or may not, be studies about this in similar situations; but I figure if the U.S. government trains their people about this, there is probably something to that even if I do not have the source material they base it on.