I'd really prefer to not argue the merits of this project. If you're convinced I'm walking down the wrong path just shake your head and walk away. I might look like an idiot, but . . . my fabric hut is non-flamable and I intend to somehow insulate where the pipe passes through the roof. The 2 empty paint cans, small stand and 5 feet of aluminium evestrough will weigh what 1 pound maybe? The fire log (when using one) is where all the weight comes from, but even then it will have a great advantage over any propane tank and heater.
Maybe this isn't you. That's fine. I really enjoy combining some physical exercise with ice fishing which is why I prefer to hike out onto the ice, but if you've ever done it you know that you need a warm place to dry off after a work-out or hypothermia will come take you away. This can also be a problem when, like me, a motor is absent on your auger. Secondly, as stated, the quiet open flame is prefered to the hissing of a propane heater. Thirdly, I often fish on smaller lakes where the fuel can be found 100 feet away on shore. Fourth I intend for this set-up to be useful for winter camping.