Checking your file, it looks like you do have the Snow Gem's associated recipe, the Niflflask.
I didn't think about it, but Frost Burn definitely should be affected by Chronah's medal. I just uploaded the next patch and notes are on the way, but the patch after that, I'll make it affect Frost Burn as well.
Check doesn't cause a lot of states to tick down. This does have the unintentional benefit of making it easier to see every possible output of the aforementioned alteration effect.