Iodate but not iodine content loss.
If you have hot solution of iodine (after I
-/IO
3- reaction) some iodine may escape.
Iodate can thermally disproportionate to iodate(VII) and iodine, then to iodide, iodine and oxygen, finally after prolonged heating some loss of iodine is possible.
That's interesting. Unfortunately, at least in the abstract, there is no information about iodate decomposition in temperatures below 100 deg C (and full text is $32, I am not THAT interested).
Besides, I have never cooked anything in 350 deg C, I though it happens only to blondes making double pizza