Actually it will.
Driving-the-Dots, as folks I know refer to Sight picture #3, will cover the point you are shooting at. While it wouldn't seem to make a difference is defensive shooting, it could be the difference between a good shoot (different than justified) and a bad one...not seeing the dropping of the weapon or being able to identify the weapon before taking the sight picture and trigger press (because it is covered by the sight blade). If you don't align your sights on the target until after that final confirmation, you run a higher risk of not getting your shot off in time (action/reaction) or missing (jerking the trigger trying to catch up).
This is why shootings of unarmed assailants can be ruled as justified, you aren't required to be sure...but, if it were I, I'd want to be as sure I'd made the right decision as I could be. Training with Sight Picture #2 gives you better vision of your target for this.
In shooting paper, Sight Picture #3 doesn't give you enough target discretion for a consistently repeatable POA...you can only shoot as discrete a group as subtended by front sight blade