Maplepost (Cdn folk messageboard) is discussing this right now. I'm not sure how to link it up, but maybe Google will help.
I don't fly, thank goodness, but my understanding from fixing instruments regularly that padded neck support on all sides is vital, and a reasonably snug fitting case. My feeling is that the strings should be loosened too, NOT because they will suddenly increase in tension so much as to do damage, but because if the neck becomes weekened through trauma the string tension hastens a break that has already started, often making it worse. Whiplash breaks are a pain to fix.
Regardless of my opinion, I would see what Frank Ford at www.frets.com has to say about it.