How about looking on it another way?
What if somebody else's child is in Medical with Coronavirus whilst yours has a possibly broken or dislocated wrist?
Do you fancy your injured child sat next to them for three and a half hours whilst their Dad is being Busy and Important (but not saving lives/fighting crime/leaping tall buildings with a single bound) because there is nowhere else to put them?
Perfect world is collection within 30 minutes. Good going is an hour. Two hours isn't surprising. Go over that and we're thinking 'Where are you?' Get to the 5/6 hour mark, so that we're still there an hour after our finish time with no ETA, looking after your child for free, not able to give them any medication to ease their pain, they're wanting their parent, and we're wondering whether we should pass them on to the Head for them to call Social Services before the building is locked up for the night and we're stuck outside in the rain, waiting in the dark with somebody else's injured child (who has possibly contracted another disease from the other child that wasn't picked up until just before 3pm).
Over the early winter flu/norovirus/tonsillitis outbreak, it was like running an Air Traffic Control centre combined with battlefield triage. You needed one lot out so that the next lot could be dealt with - and children still broke fingers, bumped heads, slipped over and badly grazed knees, so they needed seeing to as well.
It's not the doctors, nurses, police officers, shopworkers or domestic cleaners who are dicks to the person calling home, by the way.