Price has never been set, one of those auto-set by backpack.tf ones which is quite obviously inaccurate, as Flaming Lantern is usually higher than Cauldron Bubbles. Anyways, here's the proof.

There is only one recent record of this particular unusual being sold publicly. The link is here: http://www.tf2outpost.com/trade/9981304.

The Flaming Lantern Demoman's Fro sold for 2 buds pure + a N&B Sultan's Ceremonial, which is worth around 0.5-0.6 buds. Therefore, the range should be 2.5-2.6 buds, as this is the only recent sale of this hat. However, we must account for unusual overpay, so the actual price is around 2.4 buds. As this is the only known sale of this hat that is legitimately available for proof, no range is necessary (quote shenanigans :D). Thanks for reading.

I admit that I have this hat in my backpack, but as I bought this hat in a multi-unusual trade, it cannot be counted.

shenanigan's help.