CNY can get some significant synoptic systems. Most depend on favorable upper air support most notably a negatively tilted H500 trof. I remember this storm in early January 1994. A band of extremely heavy snow came off the Atlantic transported northwest by a negatively tilted trough. It reached Syracuse around noon and deposited 9.5 inches of snow in 2 hours. Employers thought they were doing the right thing by dismissing employees during the height of the storm which resulted in people getting stuck on the interstates for hours. Changes were made in early dismissal procedures after that storm. There have been many other instance of Syracuse being hit hard by synoptic systems (Superstorm of 93, VD 2007, post Christmas storm 1997 for example). It seems that recently they have been harder to come by (although we did get 2 feet in mid March 2017).
https://www.syracuse.com/vintage/2016/01/readers_remember_the_blizzard.html