Closing schools doesn't just mean closing schools, though. It means many parents having to take time off work, and in the US that often means they won't get paid. Not everyone can work from home, and working from home while also looking after your children is really, really fucking hard. There are reasons that most parents were desperate for schools to open, and it's not that they don't believe in covid or don't like their kids.
Being off school and not seeing your peers for weeks and weeks is pretty damaging to many children. It's not like they're off school and going out seeing friends, going to museums and libraries instead, doing fun things. They're mostly at home, on screens, isolated from their peers, 24/7, except for going for a walk, like they're dogs.
Working class people will be affected more, because although some well-paid jobs also can't be done from home, they're more likely to be able to afford paid childcare, which is still allowed. Women will be affected more because more single parents are female. So when the concern is people losing their jobs, that will still happen, it will just affect poorer people and women more.
Closing schools cannot be viewed a simply "closing schools." It has far wider effects.