The skier exerts very little pressure on the snow. Why then dry branches break if they fall under the skis?

The force acting on the snow is distributed evenly along the entire length of the ski, and the snow is also softened. When it comes to branches, the area of the branch is much less than the area of snow under the ski, and the pressure, respectively, is also higher, and the branch practically does not shrink, because it is fragile, and accordingly it breaks.