I think for the normal, healthy population they will leave things normal (which means schools open) for now to let the mild cases build up to get herd immunity in the normal, healthy population.
I know I keep saying this, but the 'normal population' running schools and other essential jobs contains a lot of people who are not healthy, who have immune issues, cancer treatment, chronic illness, heart conditions..... they're vulnerable too. This isn't going to be a bit of a case of the sniffles leading to happy immunity for them.
It's all very well ring fencing care homes (which hasn't happened yet according to govt guidance, only where a care home group has independently acted to protect their residents) but unless guidance is released fast that people in vulnerable populations and living with vulnerable populations should now work from home/stay at home, and employers must accept this, employers will not release them.
People are going to have to choose whether they protect themselves or give up their job, and some are already in that situation.