When driving in sand only, hardcore AT tires have very little benefits because you want to have maximum flotation and footprint which is actually being achieved with tyres that have less thick patches/grooves. Mud terrain is even much worse and are a no-go for dune bashing unless you have a re-geared Jeep 392
During self a recovery situation however, a more hardcore AT tyre can perform better, as it "grips" the sand better so your chances of self-recovery increases.
A second disadvantage of a hardcore AT tyre is the weight. The more mass your axle has to rotate, the more power you are losing on the wheels. Even a few kilograms will be noticeable if you are aiming to have a 4x4 that climbs the high dunes. Hence for that main reason if your 4x4 is slightly underpowered you are much better off with a lighter tyre, not a hardcore AT tyre.
Take into account that on a SWB JLU Wranger like @Looper drives for example, the difference will be much lower, as he has 280hp and the car is very light. BF Goodrich KO2 which is quite heavy will not be an issue for his car.
I've driven with Rydanz Raptor tyres for a while, and loved them in the sand. But the road noise and comfort was an issue, and i could not cope on long road drives.