In Arkansas (outside of the 4 county area that was closed) that was and continues to be the rationale for NOT closing the schools. It is a solvable problem - but not an easy one I admit. Still, in order to achieve social distancing, this has to include school closings.
I was talking to a Sam's employee earlier today and she noted she hoped schools would NOT close because a bunch of kids would end up in Sam's for a variety of reasons (boredom, lack of other care options, etc) that would not be conducive to helping achieve social distancing. She noted that when schools have closed before for sickness related reasons, the number of kids in Sam's that day is sure to rise sharply. I understand her point and wish all parents could stay home with their kids during times like these.
Still, achieving a goal of keeping more kids away from others makes sense but it won't be perfectly executed.