I had just received an e-mail notice from the GelPro company when I posted below. They send product offers from time to time.
Since I like the mats, I deigned to fill out a short survey. In the comments, I did mention that the edges curl. Look, I can turn them around and they're fine for a good while. I told them so.
Immediately, a representative sent a request that I send photos of my particular problem. They took a look, and presto, replacement mats have been shipped. They want the originals back, which will be a pain in the butt, but they want to take a look at them.
Maybe I should spend some time talking to customer service at Jenn-Air. The hinges, replaced last summer, are going out again.