The best runners on snow are typically faster, one-cut power running backs, who can get low and have bulk.
Ricky Williams, Marshawn & Fred Jackson could all run in snow. Kenneth Davis could, Thurman was also good, but our shotgun handoff counter play would usually take too long and get snuffed out.
If there is significant snow I do believe this great helps our defense as Jackson won’t be as fast and would lose his ability to juke laterally and would force him to commit to a running lane earlier than he would like.