As much as I hate the amount of illnesses my kids get from daycare - maybe this shouldn't be a goal? In workplaces, hospitals, etc. we definitely want to reduce illness. In daycares, the kids are all building their immune systems and the contact with germs is a vital part of that.
I definitely understand the teachers don’t want to be sick, and it’s a hardship on parents to keep kids home, so it’s not all about the kids’ health. But the kids’ health might be better served by letting them get more minor illnesses, not less.