I would say that it isn’t snowing in Dyersburg as depicted on radar and as reported by the link you provided. The link you provided is likely from the AWOS-3PT at Dyersburg Airport which is reporting snow. Automated weather reporting systems do not always correctly report the precipitation type. My understanding also is with radars that depict snow vs. rain vs. mixed precipitation, that is not an analysis of radar data itself, but is post-treatment done with other sources such as METAR reports from automated weather reporting systems such as the AWOS-3PT at the Dyersburg Airport.
