Even when DS was at a village school in a fairly spectacularly unfriendly place where my best efforts to integrate had failed, I didn't dread the school run the way that seems to be a Mn norm -- I said hello and nodded politely to people, but the important part was picking up DS, who was very pleased to see me. Standing by myself in the yard day after day, after I'd more or less given up on making overtures wasn't the most fun I've ever had, but it wasn't going to kill me, either.
These days, in another country, I actively enjoy it -- it's a pleasant city walk of just over a mile, a nice chance to chat to DS, and even though he's only newly at the school, with lots of long breaks because of lockdowns, I've made some good friends among the other parents. Even today, I got talking to a woman I'd never spoken to before, who turned out to be a neighbour and really interesting. It's also nice to see DS's teacher, who will flag up anything that needs my input.
I don't understand the stress about it either. When I wasn't WFH and was in a hurry, I just dropped and ran. There's no compulsion to talk to people, and surely weaving around people blocking your path is a minor inconvenience to most people?