Well, i just came back from a short ride and it seems that it does make a difference but it was windy and i agree, i still have to ride a bit more.
While riding on the right side of the road, there is a very small tendency to go to the right and if i ride on the left side of the road, it will tend to go left.
That is a first to me, that bike never went left.
To be followed....
Some roads are crowned to allow better water run-off. This might be a cause of the differences in pulls depending on the side of the road you're riding on.