I think that is called "crabbing" when in relation to flying a plane

Thank you, wow. That is another example of not even knowing there was a specific word for something, and discovering it here. There is a caveat, however, illustrated by the following online dictionary definitions

The maneuvering of an aircraft partially into a crosswind to compensate for drift.

1 : to cause to move sideways or in an indirect or diagonal manner; specifically : to head (an airplane) into a crosswind to counteract drift

The definition suggests the action of the pilot - he crabs the plane. The planes that are "listing" on their way into Wellington airport are being violently tilted by the actions of the wind, and the pilot cannot manouevre into the crosswind, as that would have the plane at right angles to the runway.