If you won't lose your job over it, this is something to push the line on. Maybe just work from home anyway; we're talking about your basic health. Worst case, use PTO if you have it.
Assuming they didn't have a WFH policy in place before, it sounds like they're remaining level-headed while everyone else is panicking, which is respectable. Although, hopefully that won't continue to hold that line if things get bad enough. All this assuming it's not already located in one of the few areas with a high number of confirmed infected.