If this vehicle in question is used exclusively in the winter, then all the more reason to use the specified 75w140 Synthetic. After an overnight cold "soak" the 75w140 synthetic will begin to flow and lubricate much quicker/sooner then a higher viscosity conventional.
Also, Ford did ORIGINALLY specify the 80w-90, but they then realized that it was leading to increased warranty claims (ie, things were wearing out too quickly), so they issued TSB's with updated specs, to the 75w140.
Besides the technical reasons, full-synthetic gear oil does not have that signature perma-stink that conventional gear oil does. That alone is worth it.
You should be running the 75w140 synthetic, if you care about doing things the "right" way when it comes to your vehicle. If you are of the hillbilly engineering, "run it till she ain't gots no 'mor liiiffe ta geeeve" then throw whatever you want in it. What the hell, use dish detergent. Its kinda slippery right?
Same as the genius and his buddies running 15w40 in the motor specifying 5w30. Unless your motor is ALREADY shot and knocking, using an oil that thick IS harmful, and will lead to premature wear. Especially in winter/cold weather. It takes much longer to flow to and lubricate critical surfaces at startup. It puts more pressure on seals, and makes your motor work harder to overcome increased internal drag. Its fine for a "big truck" diesel, designed for it. But if the oem says 5w30, then you can bet that the oil passages and various clearances are tighter, and intended/designed for that viscosity oil. The seals are meant to seal under the oil pressures the system is designed to produce. You go and throw such a "heavier" oil in there, and you just raised the pressure significantly, possibly leading to premature seal failures/leaks. Of course, then you'll just think you need even thicker oil, or "motor honey", to stop the leaks you caused.