You have said it all I think! To further think on the fact that a good wave-off is better than a botched decrabbing (wind becoming unmanageable...) may I recall a beautiful and terrifying video on the subject?
Dailymotion - A320 atterrissage vent travers hambourg - une vidéo Webcam & Vlogs
I remember, long ago, when I passed a test to become an instructor in the french air force, the officer testing me offered his cap with pieces of paper. I should choose one, on which was the lesson for the test. I took one: "cross-wind landings". And first at the blackboard, I explained the technique...then for fifty minutes in the little jet (FougMagister) I taught him. Weather cavok. Wind calm. The most difficult lesson I ever taught, since he was stubborn enough to ask me to go through with it.