It's clearly primarily a suspension problem on this AWD CT. For a vehicle that heavy, they must have decided on a very stiff suspension, but they didn't bother giving the suspension decent amounts of travel up or down. A requirement for decent offroad capabilities.
If you watch the video when they are just about onto the road when the cameraman says "back up", the front right tire is off the ground. When the tire contacts the ground, the suspension doesn't move much. Uneven terrain will always be a problem for this vehicle. Unless the suspension is fixed, along with their algo for traction control, this truck will get stuck on surfaces even the cheapest of mainstream trucks can handle.
As others have said, Tires are also an issue. This one would have benefitted from an actual set of snow tires.
Source: I'm from a 5+ month winter state.