A reduced flap setting is appropriate for crosswind or 'gusty' conditions for the following reasons:
1. Ensuring adequate control over the aircraft, sure. And a positive touchdown on a sensible part of the runway (ie, not at the other threshold) is appropriate. Techniques for tricycle / tailwheel / monowheel differ - always refer to FM/POH for guidance.
2. Stability. The lateral stability of the aircraft is REDUCED with flaps lowered due to the change in spanwise lift distribution (more lift near the CG) - hence less or no flap is a consideration.
3. The stalling angle of attack (critical angle) generally decreases for conventional (subsonic) aerofoils as flap is lowered (although coef. lift increases). Thus you have reduced protection from the dreaded 'vertical gust.'
It is important to appreciate that a crosswind and 'gusts' (or windshear) are separate issues although often occur together to make life interesting. When using reduced or no flap it is important that we can still comply with FM/POH data for LDR. This may not be possible if excessive increments to Vref/Vat are applied indiscriminately 'for mother.'
Hope this helps.