I must be seeing it in my mind wrong because what you described sounds backwards. When I picture a 2 lane road with a normal intersection and a car waiting in front of me with another car in the opposing lane waiting to turn left, I see more of the car in front me blocking any possible sighting of me if I'm on the right. If I'm on the left then there is less car blocking me from being seen by people on my left (the oncoming traffic). So this is very confusing with what you're trying to say. Any way you can make a drawing of some kind to explain what you are seeing?
__________________________________________________
|