I suppose that’s a possibility. I would be surprised if day schools were open and BS were not although this could be the case for international students. Clearly, management of a virus is a challenge. But right now, a lot of the issues we are having relate to a rather spotty approach. Day schools provide a better means of spread, with family members fanning out daily, than do BS.
But if that’s your worry, you definitely need to do what’s comfortable for you. I don’t have a crystal ball!