Chains make all the difference in the world, A few snows a go, on my hill my tractor looked like the JD in the video, I slid down the hill and managed to get it back to the barn, barely. I went in and ordered the expensive chains. The difference is day and night. I have no idea what the older fella thinks he is doing with the shovel. This also shows you AG tires are no better than other tires on ice.
They all harden up and are worthless. So is weight. You have to have a traction method, chains, studs or some way to grab onto the ground.