Their premise is "returning students to school on Monday will inevitably make the crisis much worse" and is accompanied by a comment that there are not enough test kits.
I don't see where that is breaking with science at all. Having infected people in close contact spreads COVID - that is the science.
As far as what should be done? A local private school where friends are teachers is trying to keep open for in person learning. Here vaccinations are very high, mask wearing is mandatory, frequent testing is critical and parental concern about sick children spreading disease is alive. So here my answer is to keep the school open if at all possible.
In other areas where vaccination is low, hospitals are becoming overloaded again, mask wearing is sneered at, test kits are in short supply and parents will send sick kids to school, my answer is different.
I suspect the situation referenced in the OP is mixed.