I agree. I would not want my children driving with a daycare. I am car seat safety anal and I know that most people are not and having up to 5 kids to strap in leaves a lot of room for error. This isn't about hovering. I understand that no matter how safe of a driver we are there are idiots out there speeding about in broad daylight drunk and our only means of minimizing the damage they can cause is to properly secure or children each and every time they get in a car.
I am very lax about supervision in my home. My 2.5yr old disappears for upwards of an hour at a time and I rarely check in on her. She comes to me for help and i have video monitors in the playrooms if I hear something and need a quick glance to know what it was. But I am anal when out, hands are held in parking lots and on streets, I expect good behavior, listening to instruction and cooperation.
There is a big difference between hovering and expecting children to learn and abide by rules of safety.
My sense with the OP was she is taking all the safety precautions one should but parents are just concerned with having kids outside of a locked house.