The purpose for small primers is to enable a smooth burn without unsettling the case. The best answer is to test both and choose the one that gives best results. In the current environment it's use what you got. If your using an extruded powder, I would use the standard primer first.
don't think I would trust it hunting even with mag primers, small flash hole maybe even worse in the old but I don't no. I've had puma 308 loads not even go off when real cold, some of the new powders that are coated can make lighting the powder harder to. Maybe use different brass for a hunting load. You could freeze some loads and go shoot them, the outside air temp won't matter.
Using standard brass for hunting was my first thought. Spp brass is a specialty item for target shooting, and people go out of their way to do it better, or worse, hell they don't even know.
Make sure you check the size of your decaping pin or you will swage the primer hole larger.
