To check whether car value is really unrelated to the insurance premium I obtained an online quote for a car worth four times the value of mine, and got a quote only ten percent higher.
To put these numbers into perspective, the annual cost to insure the car is roughly the same as the amount I spend on fuel each year. However, while the fuel is used in every car journey, I have not yet made a single insurance claim. Insurance doesn't feel like good value to me.