They recently updated it just before 10 (so after seeing those meso runs) and just added the wording of "sleet and freezing rain possible" as well.
...WINTER STORM WARNING REMAINS IN EFFECT UNTIL 4 PM EST FRIDAY...
* WHAT...Heavy snow expected and possibly sleet and freezing rain.
Total snow and sleet accumulations of 6 to 10 inches. Total ice
accumulation of less than a tenth of an inch.
* WHERE...In New York; Onondaga, Madison, Oneida, Cortland,
Chenango, Otsego, Delaware and Sullivan counties.
* WHEN...From 10 PM this evening to 4 PM Friday.