Some more quick data-
The last widespread winter storm in between Christmas and New Years was the Christmas storm in 2010.
Before that, only Eastern NC got any appreciable snow in the 2000s during that time frame (Dec 2004)
In the 90s there was also only 1 widespread winter storm the entire decade for this time period as well (1997).
In the 80s there was a mountain Christmas day snow (1981) for higher elevations for no other storms that decade.
In the 70s, there were a couple smaller storms during that time but no major storms.
Overall, each decade has only seen 1 usually small storm during that time frame which is typically less than other weeks in December, January, February and early March.
For example, the time frame between December 4-10 has seen 2 major winter storms in the past decade alone.