Deep thought over cereal this morning. In hats/tshirts etc I think "Huskers" can stand on it's own. But, if there's a "Nebraska" involved, it should always be "Nebraska Cornhuskers". "Nebraska Huskers' looks silly.
Unfortunately, the athletic department has signed off on the "Nebraska Huskers" use. Most of the stuff produced by Adidas uses Nebraska Huskers. I think it might have been driven by Pedeyshine, in an attempt to distance from corn and being associated with farming and agriculture.