Ford's engineering team (just like GM and Ram) are committed to building dependable work trucks capable of handling the loads that they claim they can haul. Ford has strengthened their frames, put additional webbing in their already very stout compacted graphite iron block, steal pistons, stronger connecting rods, heavy duty 10 speed transmission etc. They totally redesigned the sheet metal of the truck in 2017 which gave them opportunity to address the cooling system if dimensions were limiting. And you think they are going to stick a cooling system up front that can only handle 1/2 of what the truck is designed for? That doesn't seem at all reasonable to me.
In all cases the engine cooling comes from the air funneled through the grill of the truck. Ram and GM use an air to air where as Ford uses a separate radiator feeding an intercooler to cool the charge air. Whether the truck has an air to air aftercooler up front or a radiator feeding an intercooler doesn't change the fact that the charge air cooling system is taking cooling potential away from the engine's radiator.
Edit: The Ford charge air cooling system is not using the same radiator and coolant as the engine.