Yes, those are separate strips....see the sharp singular edges of each layer? If they were folds of a drape, they would have rounded over edges (yes you could sharpen them by folding it, but it would look different. Your photo shows the singular sharp edge).
Take about a 2.5" strip of gum paste and fold lighting into a U. The rounded part of the U goes in toward the cake and the edges both go outward to the viewers. Look at the last swag on the bottom cake........right there shows you how it's separated strips in U's. You would put a little water to adhere some of the rounded part of the U onto the side of your cakes
You could work this out in advance by using strips of paper towel to get your length and placement down before cutting your fondant/gumpaste.
Thank you, perfect. I kind of thought so, but had a hard time seeing what was what. I'll try some practice shots.