There is insufficient research to prove it. It would be nearly impossible to gather enough data of enough different scenarios to come even close to thinking that the Great Lakes would have any affect on NYC. I could see maybe a degree, but any more than that would be purely speculative. And why would the Great Lakes "effect" have more impact on night time temperatures than daytime temperatures? How can they have much of an effect more than 400 mile away? More than warming resulting from downslope over the Appalachians, wind preventing radiational cooling. heat island effects, other weather factors, such as where the core of the cold air entered the US? Again, there may be an effect, but not even close to any of the ones I mentioned, and most likely improbable to isolate and quantitate. Snow cover, besides providing a cold and reflective surface, provides a less frictional surface, allowing cold air to travel farther and become less moderated. So yes, a large water body can also have an effect, but again, not to that extent. And again, you get into the debate over a source of cold air coming directly down eastern Canada through the Hudson Valley. Not only is it direct cold air, but it will freeze Hudson Bay in a hurry.