For sure, "summer", Z rated, etc tires are not designed for cooler temperatures. Even though I live in Atlanta, that's one of the reasons I really wanted an LSD, during our mild winters my traction was horrible. I haven't personally tried Continental DWs but they are a summer tire, not designed to be used near freezing temperatures.
If I lived in NY and had a separate winter car, then I'd still get summer tires, but for sure I'd expect poor traction on cold tires.
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