As one nears the ground on a crosswind approach and the 'steady' wind is augmented by coriolis effect, wind shear, wind gradient, and ground-feature-induced gusts, and mass becomes a factor.
A big, heavy aeroplane will be more affected by wind gradient and wind shear, less by gusts. A light aeroplane will be less affected by wind gradient and shear (but will still be affected to some degree), and more affected by gusts.
The shape of the aeroplane makes not the slightest difference on the approach and landing until it's no longer flying and it becomes a non-flying object sitting on the ground.