That makes sense, cold ice doesn't melt when you touch it, so it has some traction. Ice with a wet surface is slipperyI saw results (probably shina.ru, when it was lesser shame to read Russian web pages) that indicated existence of two ice environments. They called them:
Warm ice -5 0 C 20-32F
Cold ice -20 -15 C -10-0F
Studs worked great on the warm ice but chemistry of studless tires won on the cold one.
Krzyś