Catch C19, recover, get the sniffles in the next 2 months, get PCR tested, require a parent to take off work and the kid to sit out 10 days [possibly more than once] is not a reasonable policy IMO.
Which is why the EU issued the "recovery certificate" and put it on the same basis as a negative test, and why our schools didn't test recovered children (to clarify: were mandated not to test recovered children) after they returned to school after having Covid.
This was always true, and we never sent an obviously poorly child to daycare/preschool/school.
I've lost count of the number of times I've picked up one of our kids from daycare/preschool/school before Covid after a phone call along the lines of "your child has spiked a fever/vomited/has had an accident and should probably see a doctor".
Wasn't this typically based on common sense by the parties involved, though?