Sand is a an issue with 19.5" wheels because they will not air down and flatten out. They typically will dig in soft sand instead of riding on top (personal experience using a SRW). I would think that twice the surface area of a DRW would be beter on soft sand, but at some point those hard tires will also start to dig instead of float over the top. Even when I dropped pressure down to 50 PSI, the tires did not squat in sand - I was afraid to go any lower and chance losing my bead.
In mud and snow, the 19.5's do great because of the digging action that gets you to a hard surface. This type of terrain is difficult to master if you float on top of it and just spin. Flotation only helps if you are going through mud or snow that is more than axle deep.
Gravel and hard pack, I give a plus to puncture resistance but washboard will test your dentist's mastery of properly affixing your fillngs.