Well, I agree with all of that. I did not mean to imply that global warming means a greater percentage of the precipitation is snowfall. Absolutely there is more precipitation, ie more rain and snowfall. I also agree RE extremes, and said is much a few posts ago in this very thread.
As far as the question of whether or not snowfall suffers during our lives...no one knows for sure, but what I will say is that the vast majority of the warming, at least in this region, has manifested in night time lows more than daytime highs....which I think tends to minimize the mitigating impact on snowfall. IE we are now radiating to 16, as opposed to maybe 14-15 degrees 50 years ago. I would venture to say that this would have less of an impact on snowfall than if the positive anomalies were being observed more with respect to daytime highs. This past January was wonderful illustration of this in that the month finished with positive departures, despite going weeks on end not breaking 40....the positive departures were achieved while we slept.