It's not remotely true. Child care is a full time job. You might be able to move laundry around while tests run but that's about it.
If people are neglecting their jobs enough to take care of kids then they're giving ammo to the management class to argue that they can't trust us.
I can get up early and work an hour, then get the kids ready for school, then work five hours, then take them to my sister's place after school, then work two hours, then have dinner and read them stories before bed, then work another hour.
Can't do that from an office with an hour commute each way.
Ideally we should should hold employees to the work they produce but I still cringe a little when someone calls into a meeting because they had to run an errand. I want management to believe wfh isn't being abused. It's exclusively about the optics. The lack of interruptions is a net positive.
If we miss a deadline, it makes it easy for management to start blaming people not being at their desk. We shouldn't be giving them ammo