[wingnut60]

I think there isn't enough backing to really hold anything up in that area. On our '15, it was loose when we checked it out, and they fixed it somehow. Probably not to last thru too many trips. Ours has a 'wood' strip across that is the loose part, and the small staples were visible on the backside of the strip. Appears the staples only go into the ceiling material--nothing there to hold a staple. You might try some glue on the strip if that is the part you are talking about.
Let us know what you figure out--to me, it isn't worth a warranty hassle, just another thing done on the cheap.
Joe