I find that most people ask about this style only because they have heard about the Famous Roll up panama hats and it is a conversation piece for them and that is fine, but it may not be as practical as you might need from a daily wear hat.
Hand made Balsa wood Hat box, it offers better shipping protection and a place to store your Fine Panama hat later. It has a hand painted lid like the picture shows.
In no way would this damage the hat since the crease can be worked out without to much trouble it is just that they do not have the same look right away after unrolling.