https://www.weather.gov/rah/events
After looking at some of these over the years, some patterns emerge. If Eastern NC jackpots, the precip cutoff usually won't get to Raleigh, or be too low to matter. Once the shield expands over the Triangle, it's usually enough to get into the Triad (and probably CLT too).
Very few times does the Triangle get a decent amount of snow and the Triad none. I can't recall it happening at all. (I'm sure it has, so I'm sure someone will link an event!) And I certainly don't remember GSO getting 3"+ snow, and WS getting none.