I have been hit twice now and that is what the driver did.
As far I know you don't have to report it to the police if the damage was to the two cars
only and no one was injured (I always call just to CMA). Both times they ask if any one
is injured, then said they don't need to attend unless I want them to.
Now I think you are obliged to tell your insurance company (Again I call just to CMA).
Both times they said if I was happy with arrangement go for it and took no details.
There may be some negatives by calling them but there wasn't for me.
I can't remember which company (s) as it was a few years back and when it comes to car
insurance I change companies like some change their coffee filters.
Interestingly, there's a clause in my contract which states: "If we want to , we can take over and conduct in your name, the defence or settlement of any claim..."
that's scary