Beaten that horse too many times. Ask Falken. I have asked BFG and Toyo as well. I agree that traditionally Ps were too weak and almost all remain highly suspect in LT application. But the whole point of the Wildpeak experiment for me was to see if current design P have become stronger. Well, the SL Wildpeak is a strong tire. But not strong enough for the harshest terrains.
Per BFG what matters is extra plies. They would not explicitly call the LTC KO2 weaker than the LTD/LTE but they did say that an extra ply is what gives extra strength (sidewall ply in this case).
Nobody in the industry I have talked to considers load capability at high psi as directly related to offroad strength. Sure, most people on forums swear that LTE should be stronger than an LTC let alone SL but everyone I talked to within the industry speaks of extra strength coming from extra plies.
They also refute the argument that more weight/more material necessarily means more puncture resistance.
As for Toyo, when I gave them my offroad mileage and types of terrain, they simply recommended I buy their commercial traction tire.
And indeed that's the direction I am going though not with the Toyo CT (too pricey and even more weight!).
Since I have no way to know this from an engineering standpoint, all I can do is to fall on experience and that says that the Wildpeak can handle anything in SL when having 10/32nds of tread or more. The problem is that this is about 10,000 miles. As they get worn the tread blocks no longer stop the sharp edges of rocks from finding the large and unprotected by rock ejectors voids between. SO, if Falken are right and the LTC is similar, then it should be quite reliable for 30-40,000 miles because it starts with deeper tread and wears more slowly than SL.