I have had my Olfa mat for about 15 years and have done tons of cutting on it. It has lots of cut marks but has never peeled. I just assumed that it was the same material all the way through. I have a crack on the edge where I lifted it up whild it was cold and it bend where I had hold of it. I taped over the edge with scotch tape.
I would email Olfa back, send them the image you posted here and ask if you could send a small piece of the mat back instead of the complete mat.