Yes... some trucks have the brace and some do not. One member here had a brace fabricated and added a strap. Perhaps they did away with it on later models... but I have not researched it or asked the right people that would know.
The main question I have is will the two straps be enough, why the third strap to begin with? Is there any chance my tank is going to fall out without the third strap? 10 gallons of gas... probably around 80-90 pounds, then the extra tank size... another 10lbs... so potentially another 100lbs added to the two straps.
Thinking logically, it seems like it would be needed, but apparently these dealer service departments (and their technicians) are not concerned enough with it to recommend it. I am reluctant to suggest they don't care, because if the tank falls out on the ground and causes harm to the truck and/or someone at some point in time, an attorney would name the dealership in a lawsuit. I can't help but to believe the service department managers are smart enough to know this, so if the third strap was necessary, they should be recommending to the vehicle owner and warning us about the lack thereof. I'd love to know what the dealers that have replaced these tanks are are thinking, why no third strap... have they verified it is not necessary on models without the third brace for some reason?