The question is whether the T4R driver was in 4HI or 4LO. I don't think the diff was locked since at times, the front wheels were spinning and the rear wasn't.
It was really no surprise that this F250 diesel was having problems. This is a work truck, not a SUV.
I think this beast only has a rear locker and no hi/lo gearing. What I have noticed is that almost every work truck I see, more often times than not they have bald tires coupled with an empty truck bed.
I had a F250 diesel come up my street with a huge salt spreader and a blade, and with the slight hill that I'm on, when the plow truck stopped, it had a hard time regaining traction. I don't think it helped that it was a 2x4.
For those who have pulled trucks out of ditches, do you mostly use the tow hitch or do you use the frame loop eyes too? I'm not sure what those loop eyes are rated for.