Fair enough, the glass may have been defective but I am sure Apple is going to do their best to pin this on you. If it truly was/is defective I wouldn't even offer for the Applecare option. They should replace it for free and I wouldn't settle for less.
sometimes things happen that are out of your control and even though you're not at fault, it can be less of a headache to "split the difference" so-to-speak. If I were the OP, I would probably offer the same resolution as a catalyst.