Exactly! It drives without a rush, so it just drives normally. Only you make clear way for the vehicle, so it can keep driving. Just remember, it's not about driving quickly, but to keep the drive smooth.
Police isn't always there to protect, there are more tasks than that. Just like escorting an ambulance. A common mistake people make: a police escort is NOT ONLY to make the ambulance go faster, but also the drive more smoothly. So the ambulance doesn't have to brake as often without an escort. I would really love to see a callout like this.