This challenge could be mitigated considerably with a wireless beacon, reflector, Maps alert, or other indicator being an element of closure signage. Of course, that puts responsibility on government actors to effect said notification, and they don't want the liability.
Don’t own any EV, don’t plan to. Not real sure about this move for Tesla, altho I have no personal qualms about them as a company. I am not sure about driverless conditions for a commercial vehicle, tho, personally don’t think it is a great idea for a few reaons.
I don't think it would be that hard. The car constantly sends me notices about many things. If my wife is using the car, I can see an interactive map of where she is, and where she is going. Even with her "driving" I can control the car with my phone. Like any other piece of equipment in the road, I'm still responsible for dealing with it impeding traffic, etc. As far as a flat or mechanical breakdown, it can send me a message, or just summon a tow truck on its own.