I'm virtually positive that if one side never allows parking, the other side is to be used in a snow emergency regardless of whether it is odd or even. This makes sense, as the plow will just go from Willow towards College Ave. instead of the other way.

Though park on Kidder at your own risk when there's snow and ice. I've come over that hill once to many times only to realize there was a frozen sheet of ice on the other.