The pressurized and semi-pressurized stoves have a more difficult time when the temp drops. This is mostly due to the cold pot being placed on the stove which will suck too much heat from the stove. The supercat is a semi-pressurized stove. Canister stoves also suffer from pressurizing issues in the cold due to the vaporization point of the gasses.

A wick based alcohol stove, like the starlyte or fancee feest works much better in the cold. I have used both into the negative teens F with no problem whatsoever. In fact, my friends whisperlight was having issues so my alcohol stove (I was using the starlyte at the time) bailed him out.The added benefit of the wick based stoves is the fuel usage efficiency factor.
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