Help with the towing math

Ok, here's what I found out about my truck and its capability. I stopped at my local Ford Dealership service department today to see what they had to say. They looked up my truck in their system and it came standard with a beefed up radiator, trans cooler and oil cooler which are the same that are on the Max Tow F150's, F250's and F350's. As a side note, these things don't come standard with the F150 ecoboost models with the 3.15 or 3.31 gears. That might be why some thought my truck wouldn't have those things. So I asked why is the GVWR GCVWR and Payload so much more with the F150's that have the Max Tow package? They said they didn't know so I asked them if they would call Ford and ask. They got right on the phone while I was there. I thought that was very nice of them. The answer that was given was because a brake controller and 3.73 gears comes in the Max Tow package so the controller would be operational when you plug in so the trailer brakes would handle some of the burden when stopping and the 3.73 gears would make the truck work easier, especially on big hill climbs, so the engineers could be comfortable with the higher weight limits displayed. They also said that the 3.55 gears are adequate with the added weight but I would lose a little fuel mileage. Finally they said that if I had an after market brake controller (which I do) not to give it a thought. The truck is more than capable of handling the weight I will be towing even if I add 1000-1500 pounds of gear in the trailer. This is great news to me because now I don't have to spend thousands and upgrade my tow vehicle.