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.
Injen, RR OCC, MadDad Whisper, donut spare, 19x8.5et43fr 19x9.5et45r Volk LE37's, rear fenders rolled/pulled, Nitto 555 225/35fr PSS 255/30r, KW V1's, AR coated catless dps, Cross strutbar, CF grills and license plate holder, rearseat removal, iCarbon diffuser and front lip, ETS black anodized FMIC, M3 control arms, Quaife, ER chargepipe, ForgeDV's, Topspeed Custom Tune, V3sims, Braille, Andrey_GTA rear hub mod.