If there is a closed 500mb low there is a good feed of moisture back to the west up to the point the flow backs around to northerly behind the closed low. If the upper air low supports transporting moisture west, it’ll do so. If there’s an open wave trough and it’s too progressive, that doesn’t happen.
Jan 1996, 2016, Feb 2003 etc were Gulf origin lows with a huge moisture feed ahead of those lows into a dome of cold air that the moisture overran. That helped create the huge area of snow and it’s another reason you want a large high pressure area for the low to head into. The massive overrunning surface creates a large area of heavy snow.