I have some new (about 1K miles) A/S 3+ tires on my stock wheels. I found out this week the traction on light/compacted snow is pretty bad. My car came with the VENTUS S1 NOBLE2s which have quite a bit of tread left. According to TireRack though these would be even worse in the snow. Is this correct? I was really hoping to avoid having to purchase another set of tires for the winter.