Here is something I'll add for your thought process..
Diesels obviously make huge torque and are excellent for efficiency and towing, especially before they restricted them with DPF and EGR and DEF fluid, but that's another story. Anyway, my point is this, the diesel will make way more low end torque, and it will tow better, and usually use less fuel for the same work if everything is correct, there is more energy in diesel fuel per gallon than a gasoline. So, if you are pulling a heavy trailer up a mountain pass, the diesel will no doubt outperform the gas engine with all the available torque.
However, if you are trying to accelerate, or you want an empty truck to feel fast, in general, the lighter gas engine with more HP will feel faster than the heavier diesel with more torque. Now, if you have a diesel with more HP, then it will feel faster, but that's pretty rare because HP is just a function of torque and RPM and below 5250 RPM torque is always higher on the dyno curve. It happens though, a brand new L5P DMax is 475 HP/975 TQ, and a brand new L8T is 401 HP/464 TQ, the diesel is faster in that application.
This is not a hard rule, just a general observation. My truck with 525 HP/600 TQ is usually faster than a DMax with over 1000 ft lbs in a drag race, been in several races like that and won every time. Now if you hook up a heavy trailer the diesel would beat me every time. Also, there are exceptions to this, diesel trucks running 9s in the quarter, and diesel dragsters going 6s. However, I think you'll find for the diesel to perform better in drag race, it will be more expensive than gas, and not even close, a lot more money. However, for the gas to perform better in a towing competition, it either won't do it or could be more expensive than the diesel, if that makes sense.
The reason I say this is because you need to decide what you want out of it, if you want gobs of bottom end torque and pulling capability, the diesel will be better.
If you want your light truck to be faster in a drag race and/or in the sand, the 6.0 will likely be faster, especially if you add boost.