I think, this question is far more complex, than it looks at first glance.
-it is not sure that the front positioned line will always hooked by some flower's head...
-all the models do some movements around the vertical axis, and -since the distance is not zero between the leadouts (usually it goes 1/2 to 1 inches)- this modulates slightly the controlling. We instinctively "calculate" with this, but inverting the bellcrank, we can get unwanted surprises.
-most pilots make not pure "up-and-down" movements with the handle, but sometimes turn it, and/or diverting his arm from the accurate radial, (backwards or forwards). See a nice video on this:
Interchanging the "up" and "down" lines requires a lot of training, I am sure...