Over on Serious Eats Talk, BananaMonkey asks:

For the first time in a decade I'm eating a frozen pizza. The oven is heating now, with pizza stone inside. It just occured to me that tossing the lump of frozen dough of a premade pizza might be too much of a shock fro the stone. Should I not use it?

(Don't judge the frozen pizza...my phd dissertation is due in 5 days and I'm moving in 10...something had to give)

The result: Yes, you can. BananaMonkey did it, and the stone survived.