My brother is a fireman in Syracuse - anything specific you'd like me to ask him? I'm from Buffalo and my parents now live north-east of Utica (so we straddle Syracuse).
The snow you get in upstate NY is highly dependent on where you are relative to the lakes. It's mostly lake-effect snow, meaning that the cold air has to blow down from Canada and across the lake where it picks up moisture, before it dumps it when it hits dry land. If you aren't on a lake effect path, you won't get much snow.