Based on the "I am a scientist" comment, I find it interesting that this situation is creating a different two tier society from the previous one.
Are you a key worker, and even better a hallowed NHS worker? Yes of course you can have childcare and send your DCs to school as you are doing such an important job for society.
Everyone else - school is not childcare and as a parent the buck stops with you, oh and education is apparently your responsibility as well even if you're working from home as clearly your job is not important.
I actually do have the key worker letter, but for me it's a bit of a joke as I can work from home and tbh the world wouldn't stop turning if my job wasn't done, although my organisation might face some fines for not meeting a regulatory deadline.
I find myself really resentful of anyone whose DC are in school, even though I know it's a job based lottery and they probably aren't receiving much of an education there,but at least they get to spend time with other DCs and their parents aren't being judged on their ability to teach rather than the job they are paid for.