My F250, while capable, needs to make some tight turns in 2wd. Even in slippery, gooey offroad conditions, I have to shift out of 4wd to make some manuevers whithout the truck hopping and jumping. Even when snow wheeling. 3 point turns are normal for big trucks. I'm constantly shifting the floor shifter in and out of 4x4. I allmost allways try turns in 2wd first.
Often I need more than a LS or open diff during those moments. And a ARB that's locked up would be a pain. An ARB that's open would be useless. Tight turning on a grippy but steep grassy/sandy uphill really shows the advantages of the Detroit. But it takes a while to learn to get the most out of that diff.
So I run a Detroit locker in the rear and a open diff up front.
IME on a truck as big and heavy as the F350, a rear Truetrac is not optimal. Wouldn't be much better than the stock limited slip if it was shimmed correctly (cram as many shims in as possible) and use zero friction modifier. Truetracs are the cats meow in a light wheeling Nissan Titan.
If you drive it carefully it's fine. You have to drive responsible in snow and run AT tires in the winter, but we allready do that anyway right? A Superduty with a Detroit rear and a Truetrac front will go anywhere a Superduty should. If you put anything up front, make sure it's a Trutrac, Limited Slip, or selectable. Don't put a autolocker or spool up front. Some folks have run the Detroit up front, but generally they are the types who only are in 4wd on a muddy farm road traveling in a straight line. Since I'm rarely in 4wd, I'm considering a Detroit also in my front diff, but for now, I need to spend money elsewhere instead. I rarely spin a front tire, so far the truck is a beast with just the locker in the rear.
Lockers aren't just for hardcore wheeling, they have many practical uses. My Detroit gets used every weekend and I miss it when I'm in a truck without it. My F250 has never needed a winch, I don't hardcore wheel with a truck, thats what dirtbikes like the Kawa KLR and Honda CFR450r are for.
Besides, you have that awesome Visteon/Sterling 10.25/10.5" rear axle, it can handle anything a Detroit is going to throw at it with ease. Keep in mind that in a big, long, heavy truck, with insane strong axles, the quirks of a Detroit are hardly noticable and easy to work around. That diff was born for big trucks. It might be a nightmare in a Jeep or Toyota though. I'm also assuming you have a auto transmission. Slushboxes are much smoother, Detoits hate manuals transmissions combined with daily driving.
Truetracs are great in the front of a Superduty because it's rare for a Superduty to lift a front tire. Trutracs are useless with one wheel in the air. My F250 lifts the rear tires more often, and Truetracs, even with the E brake on don't really work well enough in the big heavy trucks.