I think it’s because an Ice Storm Warning is issued when freezing rain is the predominant type of forecasted precipitation. In this case, Nashville still falls within the Winter Storm Warning criteria, which is any of the following:
Heavy Snow: Accumulations of 3 inches or more in 12 hours, or 4 inches or more in 24 hours.
Sleet: Accumulations of 1/2 inch or greater are expected.
Freezing Rain (Ice): Accumulations of 1/4 inch or greater (this may also trigger a specific Ice Storm Warning).
Combination of Hazards: At least 2 inches of snow combined with any accumulation of sleet and/or ice (freezing rain).