How many times do we play to our opponents rating, and not the board? For example, if I play someone a few hundred points weaker than me, I make bad moves, and generally have to fight to a victory.
Similarly, against playes much stronger than me, I give up almost before the game has begun (give up hope that is, not resign).
I play my best against people in my range.
Now, if we can have an option to hide someone's rating when we view the board, I think it would help my play. (and any suggestion to simply not look at the rating is the same as trying not to think of a pink elephant!).