I have never heard of a pyrex dish breaking, under any circumstances! I confess I'm stunned at the possibility. Also, kind of intrigued.
However. My Emile Henry baking dish has a long, infuriatingly in-your-face crack in it. I don't have any idea how it happened, and I still use the dish, which maybe is foolish. But it was one of the most expensive things I had ever purchased at the time, and it was so pretty . . . and I am still annoyed about the crack. I just did not think of the pan as precious, you know? I thought all that money meant that it was a strong tool! [In retrospect, I don't think it cost like a fortune or anything, I just bought it when I was a broke graduate student, and probably shouldn't've been buying anything].
One follow up -- the diffuser in my photo is not the SimmerMat, but rather is the one by Ilsa. I do own the justly famous SimmerMat as well, though, and want to note that my Mixteca pot does NOT balance comfortably on its knobs, at least not on the design that I have. It sits fine when the simmermat is inverted for use on the glass cook-top side. I think Jaymes had said she was foregoing the diffusers all around, and the point has been made that this clay pot can take the direct flame; but I did want to make sure to point out that my pot sits on the Ilsa in the photo, just in case anyone was about to buy themselves a SimmerMat.
<edited for gender mistake!>