May be a little lesson in tire engineering is in order:
If you look very carefully at the relationship between Load Index and maximum load capacity, you will find almost a one to one relationship. The reason it's not an EXACT one to one is that the US standardizing body - the Tire and Rim Association - does the load calculation first, then translates that to Load Index, where ETRTO - European Tire and Rim Technical Organization - formulates its loading standards STRICTLY on Load Index.
For tires: Air = Load Capacity. The larger the tire, the greater the load capacity. The higher the inflation pressure, the greater the load capacity.
Each of these standardizing organizations publishes a book that has the relationship between load and inflation pressure by size.
When we are talking about LT tires, which use Load Range to indicate the inflation pressure upper limits, the maximum load capacity is determined a combination of the maximum inflation pressure and the size.
Many P/U truck manufacturers will use a tire with a larger load capacity for those heavy duty trucks designed for towing big trailers - and this is a good idea from a vehicle design point of view. But you can get a similar effect using a higher inflation pressure - if your tires are designed for the higher pressure.
BTW, sidewall stiffness is more a function of inflation pressure than it is a function of load range. Sure the Load Range E tire is stiffer than the Load Range D tire, but the actual contruction effects are fairly small compared to the siffness that is added when you inflate the tire.
So putting a Load Range E tire on a vehicle that calls for a Load Range D tire is a good idea, paticularly if you use a little more inflation pressure. (But be aware, it is possible to use too much pressure.)
As far as what a given vehicle manufacturer "specs" on a given truck: There are quite a few considerations - Load capacity, physical dimensions available in the fender well, purchasing cost, etc. My impression is that vehicle manufacturers spec P/U trucks with fairly small physical dimensions, then use higher load ranges to get the load capacity. This also results in a less costly tire.
So typically an LT235/85R16 or a LT245/75R16 (both Load Range E) is used.
Having said that, I note that recently vehicle manufacturers moved to 17" and 18" tires on their P/U trucks.
Hope this helps.