If you need max available braking, and you need to use differential braking at the same time (be it for a turn or directional control) you are not having a great day. Having said that, the only way to achieve differential braking while using max braking effort is by reducing braking on the outside, as there is no way to increase braking on the inside because you are at max braking effort on the inside already. This might not be in a manual, but it is basic physics.