This question comes up frequently on here. I've posted this before, but this seems like a good opportunity to pass along the info again. I live in Southwest Montana, and it can get a little on the cool side around here. That being said, I am able to test the 'cold weather/small primer' thing quite easily. It was -38F here one morning three years ago. I decided that I would probably never get a better chance to test cold weather primer performance that that day. By the time I got things gathered up and to the range it had warmed up to a tropical -22F.
The rifle was a R700 .22 CM with Lapua brass, VV N-160 and CCI 450's. I sat the rifle, ammo and chronograph on the bench and retreated to the heater in the pickup with the chrono battery. It all sat out there for 30 minutes in the cold. I shot 10 rounds which all went bang, had a SD of less than 10 and were about 50fps slower than they normally ran. There were no delays or outright hangfires. In other words, nothing out of the ordinary other than the velocity. It's not uncommon for it to be below zero when we're out calling coyotes so things need to be right.
I make sure the ignition of the action is not compromised and has a fresh 24# spring, something right around .250 of firing pin fall and no garbage or lube in the bolt. And NO LIGHT WEIGHT FIRING PIN. In addition, make damn sure the primers are seated with the anvil in contact with the bottom of the primer pocket. Excluding those folks who try to use ball powder, I contend that if you are having ignition issues with small rifle primer .22 or 6 CM loads. there's probably something that needs some attention in the action.
There are small rifle primers and then there are small rifle primers. They are not all created equally. I would strongly recommend that Federal 205's be avoided if the larger cases. I had a .22x47 Lapua that did hang fire with a Federal 205M at -18F one morning coyote calling. The 205 is the lowest brisance primer of the commonly used SR primers and will not get the job done in COLD weather. Stay with the CCI 450 or Rem 7.5 and you won't have any trouble if your action is working properly and your using stick powder.