All the damaged cars I have seen have been parked in the CPZ on Davids Road. The CPZ was implemented after Sainsbury's was built, so I am sure LBC would have taken this risk into account in determining whether or not it was safe (or even sensible) for resident to park their cars in the designated bays.
I accept that sometimes a lorry may not notice a minor knock, but the car involved in the latest collision I saw had buckled the driver door.
I doubt many people park on the double yellow lines in this area often these days - traffic wardens are pretty, erm, efficient.