They look rumpled because they have been packed away for almost seventy yes. The edging looks frayed but I would say in the main it is not if at all. I will not be inspecting every tiny look and cranny.
The edging is made of a very, very fine wire. And just needs a little teasing out to get the shape that you can see in one of the photos. It has just been pushed down in storage.
This is a vintage item and as such is not perfect.