Thanks for the report! The Snow Sprinkler is supposed to be that cold: the Extra Frosty Snow Zone drains your HP fast unless you're wearing a Magical Mitten, just as in the original game. You can get one by breaking the tripod in Happyville. It drops the Mitten some of the time and comes back every hour, and any job can wear it from level 8. Equip it and Roodolph's trip is safe.

Let's set the respawn on the Tripod to be 30 seconds, not 1 hour.

Follow-up: the Magical Mitten actually comes from the gift box at the left end of Happyville, not the tripod. That gift box now springs back about 30 seconds after someone opens it, so there's always another chance at a Mitten before the Extra Frosty Snow Zone. Give it four good hits; about one box in three holds a Mitten. The rooftop tripod also answers every swing now.