ItWentDownMyHeartHole: forthe I'm not a random
Would you think me nuts if I authorised you to collect my DC from school today? Of course you would. So yes, to the vast majority of the country's population, you are a random stranger.
If I'm away then I know of about 8 people who might be able to help me. They all work, but some locally, others part time and some from home. I would be able to find someone.
Again, good for you, but read the thread about why this is simply not possible for lots of people. Their reasons are irrefutable. It is not for lack of will. It is that they have simply no options and no amount of hand-wringing is going to change this.
You can get school to look after your sick DC but it'll piss them off if you've not nominated someone local.
We have nominated local people. Unbelievably, due to that awesome, magical phenomenon known as "the catchment area", every single one of those people all miraculously live within a very few miles of the school. However - and this is the bit that I realise is somehow incredibly difficult to grasp - they also all WORK. Some work miles away, and some work in jobs that you just can't leave suddenly, and some, for extra brownie points, do both. The only possible option we have who is local and doesn't work is about 85, she doesn't have a mobile or a car, and spends most of her days with her terminally ill DH in hospital. Beyond occasional, brief garden-gate chit-chat I barely know a thing about her. Do you think I should impose on her with my sick or injured DC?
How you find that local person might include asking around other parents. I don't know, try networking.
Which takes us neatly back to every objection I had about just picking some random to collect my child from school. So thank you, but instead of entrusting my child to someone I hardly know, who could even be a danger, and who probably doesn't have even basic first-aid training, I will make the judgement call that my sick/injured DC is safer waiting at school in an appropriate environment and reasonably close to a first-aider for the time it takes for me to get there.