Cold air in the chimney stack can certainly be an issue. I start my morning fire from left over coals and had no problem until the recent below zero weather.
The stove smoked more than normal even once it was hot. That was not normal for the Fisher Mama Bear.
I found out that overnight my spark guard on top of the flue had plugged up with ice and soot. Once I removed the spark guard the stove was back to working just great. With 6" of powder snow on the ground and the cold temps it won't be needed until next fall.