Tyres & Pressures on the D3
I found that the D3 struggled (relative to other vehicles) in the VERY soft sand. There is no problem with the power of the vehicle, the problem is the "flotation" of the vehicle in the sand.
The greater the LENGTH of the contact patch of the tyre on the ground (sand), then the better the "flotation" and the way to do this is either lower tyre pressures or use a bigger tyre diameter (for the same tyre pressure).
With the relatively higher profile tyres on the D3 you can not achieve REALLY low pressures without substantial risk. Relative to a 33" tyre (ie. 285/75R16 on a LC100) the standard D3 30" tyre (235/70R17 or 255/60R18) will have a much shorter contact patch on the ground. I believe that the combination of these two factors explains why the vehicle struggles (or is at least less capable) in those situations relative to other vehicles.
The only solution for D3 owners is to fit the smallest diameter rims (17" for TDV6 owners) and the biggest diameter tyres. However in SA I understand you can only (legally) increase the fitted tyre diameter size by 15mm over the standard size without engineering re-certification. Vehicle Standards Bulletin 14 (VSB 14 - National Code of Practice for Light Vehicle Construction and Modification) allows for a 50mm increase without engineering re-certification but has not (yet) been adopted in SA (I asked the SA Department for Planning, Transport & Infrastructure about a week ago).