Cross winds do not cause a wing to drop. They will move the plane off the runway centerline. Pilots crab into a cross wind by flying straight at a heading that will keep the plane on centerline.
What happened here is that the inexperienced pilot likely had target fixation. When landing, your focus shifts from the touchdown point to the end of the runway. In poor visibility, it is difficult to do so. When you stare at the ground rushing up to you, it is easy to freeze and continue into what you are focusing on.
It is a common problem for new pilots and motorcycle riders. If you are riding a motorcycle and get into a turn a little too fast, it is easy to stare at, and ride into, the edge of the road you are trying to avoid. Focusing on the end of the turn will get you through.
This pilot literally flew the plane into the numbers, snapping the landing gear and rolling the airplane. There was zero flare.

The pilot had help.
The guy sitting next to her did nothing.
The question outstanding is why.
From the FAA's Airplane Flying Handbook:
There are two usual methods of accomplishing a crosswind approach and landing—the crab method and the wing-low (sideslip) method. Although the crab method may be easier for the pilot to maintain during final approach, it requires judgment and precise timing when removing the crab immediately prior to touchdown. The wing-low method is recommended in most cases, although a combination of both methods may be used. While current testing standards allow for either method, pilots should learn to do both.
(https://www.faa.gov/sites/faa.gov/files/regulations_policies/handbooks_manuals/aviation/airplane_handbook/10_afh_ch9.pdf)
You're right, the crosswind doesn't CAUSE the wing to drop. However, if the pilot is using the FAA's recommended technique, HE WILL touch down with the a/c BANKED INTO THE WIND, meaning one main gear necessarily will touch down before the other.
In fact, the certificated maximum crosswind component of any airplane is based in part on how far the a/c can be banked into the wind AT TOUCHDOWN without risking a wingtip contacting the runway.
FWIW, the only airplane ever built that was designed to land in a crab is the Boeing B-52 bomber.
