Update: I stopped in at my local dealer last week before heading out on vacation. I had a somewhat standoffish conversation with the sales manager who is familiar with my complaint. He indicated that he would send someone out and try removing the affected core and flipping it over.
After thinking about it, I called him back to advise that this really isn't a satisfactory solution. He indicated that had requested a new core for that side of the cover and that it might take a couple of weeks...if he could swing it. I'll wait to see if he comes through.
