I have seen postings with formulas that described the increase in pressure as a factor of temperature, and I don't recall the formulas, but as I recall even doubling the temperature wouldn't increase the pressure more than a few PSI.

I do wonder if there could be an issue with a tire that weakens as it heats... but as someone mentioned, people ride on some pretty hot roads without blowouts... but then again, they are also moving, which could provide some assistance in moderating the temperature.

So, even though I started this post thinking I could provide some insight... I don't know!