This has been an ongoing symptoms for any truck with hydroboost. It is especially worse if you change the wheel offset in addition to the larger tires. It is a simple case of overloading the system. The PS pump can only put out so much, and the steering gear is only so strong. The real problem is the pressure loss when you step on the brake. All hydroboost systems feed the brakes first (safety) then the steering. If you can keep your foot off the brake it is much better.
To see what is happening physically, put your truck in neutral, foot off the brake and have someone turn the steering wheel lock to lock. Watch the truck move slightly fore and aft as the wheels swing through the arc. Now imagine stepping on the brake so the wheels can't move fore and aft, and your wheels are being "dragged" or "scuffed" along the pavement by the steering gear. You will then realize that the steering system just does not have enough umph to do it. In addition, depending on the amount of caster, the truck is being "lifted" as it goes through the arc. Add the drag and the lift and the system is just overloaded. I'm sure one of the big three could come up with a system that would do it, but for the small number of situations where you need it, it does not make economic sense to build it for the minority, and have the majority pay for it.