This is a common discussion in our marketing department. We know that most of the public refer to dedicated winter tires as snow tires. But, we also know that the purpose of these types of tires is to offer improved traction in both snow and cold. Under 32 degrees Farenheit, tires designed for summer performance become very hard and have little traction because they are designed for warm-weather use. So, in the end, we settled for Winter/Snow Tires for the category of tires that are dedicated for winter-time use and are also snow traction tires.
Here is a great resource if you are deciding whether or not you need Winter Tires: the Winter Tech section.