Nice. I helped a trucker the same way once, he was stuck on some ice on a dirt/gravel road at a steel mill. Gave him a tug, and drove with him til we got to dry ground. It's not the truck but the jerking action that gets him out. I tried pullin him and couldn't but with a little tug he got movin.
But we can believe it was Ford power that got the job done.
We do the same thing all the time in winter. We have all flat beds and often get stuck in our own parking lot. When it snows and then the sun comes out things melt. Then it all refreezes over night. A day cab with an empty flat bed has zero traction from a stop on ice. We just grab a strap and use the company pickup to drag the trucks off the ice. Once we get out of our spots we are good to go.
I also used my own truck to pull a lightly loaded flatbed away from a dock. The dock was full of packed down snow and he couldn't get enough traction to get moving forward. I just wrapped a chain around my hitch and gave him a tug and stayed with it until he was on the road.
The problem is with trying to get moving with your weight split across 8 tires. I know on my semi at work I only have about 8,000 lb on my drives when empty with a trailer. At that point there's less weight per drive tire than any pickup. Once you get rolling though you now have the traction of 8 tires to push you instead of just 1 or 2 in a car/pickup.