Okay, I'll shill for Shinko.
I did about 2,000 miles last winter(December, January, February, and March) with no problems on my Shinko Tourmasters. Granted, temperatures were above freezing most of the time, occasionally all the way up into the 50's and the pavement was mostly dry. I doubt that any tire is going to work on snow or ice with a K bike, but the Tourmasters didn't do anything scary in the cold.