One example I can think of is emergencies. I’d be okay paying a fine but speeding so I can drive someone to the hospital.
I also wonder if maybe by forcing cars to go slower we could: 1) reduce car accidents by a lot and 2) reduce current spend on emergency response by a big enough amount that could then allow to use it to cover faster response times (e.g. sending a helicopter)
Speeding doesn’t save nearly as much clock time as it feels like it does, especially if you’re regularly blocked in by other cars and traffic signals.
Red lights themselves could often be somewhat safely ran through with some attention and a fast-accelerating vehicle—slow down first, check directions, etc. Preferably in particularly paying attention to pedestrians..