Don't forget the third of the 4 techs in the barracks is Fortified Roof, which improves the durability of the barracks itself, so there are in fact only 3 discipline upgrades.
They all have the same effect (reducing the spread by the same amount, e.g. 1.5 seconds), so I would call it arithmetically.
So it doesn't matter in what order you research them, the result is always the same.