Similar concept in Austin -- though we are even less likely than Nashville to experience winter type precipitation. About two times per decade snow accumulates here -- but when it does, game over.
Having lived in many cities and different climates, I know exactly why for some cities a foot of snow is no big deal, while for others, an inch shuts down life. It's all about how much each city budgets for snow/ice removal. Places like Buffalo, Minneapolis, or Western U.S. mountain towns are going to budget more -- as they know they'll need it plenty each winter. Places like Austin, there are no snow plows, and there's a limited amount of chemicals to treat roads. Lincoln is somewhere in-between because there are winters commonly there when they may only see a handful of small accumulation (1-3 inch types) of snow. Also, they take into account trying to make certain they don't run out of road treatment (salt, chemicals, whatever) by using most of it by late-January.