It is worth checking out details of cover as well as cost. i.e. What is covered in the event of a nasty RTA. legal costs, loss of earnings, cost of being in hospital and long term disability.
Here in France it is a little different to the UK in that we buy health insurance to complement the state health care system and essentially pay for 30% of the bill.
This kicks in automatically as our "NHS" card carries details of the insurance company. The only bill we have seen was that for an hellicopter ambulance -
The car insurance policy seems to be paying for all other costs consequent to an accident. This includes; building/pluming work on the house to adapt for disability, new clothes suitable for a disabled person, all mechanical aids in the house, a daily visitors rate and private medical costs that will determine initial and long term physical disability, psychiatric and psychological impact of the accident.
Our insurers visited us in hospital and wrote out a cheque in respect of their interim payment. This quick cash advance was a god send as it paid for all those hidden expenses associated with a long hospital stay.
I know it is a drag but it is really worth checking and comparing the details of your policies.