Tiffany, they probably did come up. Mine did. They just didn't bloom. Maybe next year. I believe that Heydiciums can handle more cold and wet than the alpinias. I have a red ginger, alpinia, that I have been warned to keep inside over the winter. It can not handle any cold. I wonder how well the less hardy gingers will do if I covered the mulch with plastic and weighed or pinned the sides down after the frost knocks them down, instead of digging them up and storing them.
For the last 3 years, I have let my spiral ginger go dormant in the garage, and that's worked out well. Except, I have yet to see it bloom.