Ive yet to find an arrow unaffected by cross wind. As stated above, higher foc, and smaller fletchings have performed the best for me. Woods, aluminiums, carbons,, are all effected if they are comparable specs other then material types.
I have found one of the biggest issues for unstable flight is the release. Poor releases are a sneaky culprit, and many other diagnosis are made to blame unknowingly. For hunting on windy days, shorten your shots, as goes with the code of archery ethics.