By changing the lateral ink distribution (technically) you are apply to apply more ink to lead edge or the back edge of a printed image. Most presses were set for Position White 1, which would give you approx 100% inking at the lead edge. As Turbotom pointed out this could be hit or miss. A White 6 setting would give you more inking at the tail end of a printed sheet. The white position if I recall would take a heavier charge if ink and distribute it to the Gear side of the ink train. For example: If you were printing a heavy coverage image on the Gear side of the press the charge of ink would start from the Gear Side. If the heavy coverage was on the operator side you might be starving the ink minimally, if you were set at White 1. You can change the distribution by moving the setting to Red 1. The inner numbers pertain to the amount of oscillation movement you get side to side.
On later models of Heidelberg presses with CP 2000 screens and onward you could adjust the lateral distribution remotely from the Press Console. This function enabled you to send more ink to any position you want on your printed sheet.I hope this information helps. If you have any other questions, please ask and I am sure you will find some other input from other operators to help you.