I couldn't find a good test of summer vs. winter tires on COLD dry pavement, but it should be obvious that cold summer tires can't provide the same level of traction in near freezing temps as a good winter tire. Some mfrs (Toyo e.g.) even warn that some of their summer tires can crack if used below freezing. All season tires would be a lot closer to winter tires and might be ok in moderate cold, but not summer tires. That's just nuts, even for you.