What activates the anterior deltoids is not so much the lowering of the bar below head level, but bringing it to the front, as anterior deltoids are responsible for arm flexion (and in a much lesser extent arm abduction).
So, if one would like to target lateral deltoids with lesser focus in the anterior ones, he should select a movement that doesn't bring the weight much to the front, like dumbbell presses (not Arnold presses), lateral raises and upright row.
As you can see when performing dumbbell presses, lateral deltoids do not contribute little to the lift when the dumbbells are at the lowest point. Lateral deltoids are still doing most of the work, since they are the main muscle group that vertically abducts the arm.
In the same way that doing partial biceps curls allows more weight, so do partial military presses. But this doesn't mean they are more productive.