i live in a climate where it might, just maybe, on certain days, for a few hours only, reach about -2... so the cold isnt an issue around here. theres other people around on here that brave russian winters, so it must be possible!
but... i do know that things like moisture can and will freeze in the fuel lines etc, and theres a lot of difference between the petrol supplied here, for average temps of 20c, and petrol supplied in sub zero climates... the aromatic content or its ability to vaporise, especially at low temperatures. gets worse in a plane when they have to deal with altitude as well. but basically petrol itself will freeze or at least "thicken up" just like motor oil gets thicker as the temp goes down.
the vaporisation of fuel takes heat, is why carbs can ice up. the fuel is cooling the carb down below ambient temps. maybe some type of shroud, insulation, and or try a hairdryer/heat gun before starting when really cold?
how old is the fuel, btw? 2stroke mix tends to go stale rather rapidly.
brrrr. cold. ikky.