You don't need to be so bloody arrogant, do you?
According to your explanation
"There is some statistical evidence that shows that if those involved in a no-fault accident have a higher propensity to claim.
It could be because they are the type more likely to claim. It could be because they are a little more careless where they park."
How can I make sense of such statics? If I jumped a red light then I could understand or if I was speeding. Then I would accept that statics could show a higher risk. Not having any records of accidents or claims, how can the conclude I represent a higher risk? Are they going to tell me that x number of people that were reading a newspaper in the passenger seat while parked in a shopping centre car park went on to claim again?
You seem to try to be too clever and arrogant because you know how these insurance companies work ( that in itself is very bad attitude to have) and yet you have not given me a good explanation. You said "it could be because I'm the type more likely to claim" but that was my first ever claim I would have thought I was the ideal type of guy to insure. You also said " It could be because they are a little more careless where they park." well, that must have been over 200 drivers at the very same time being a little less careful in picking the place to park. Only me with the bad luck that an old lady wanted to park next to my car.
As for "There is some statistical evidence that shows that if those involved in a no-fault accident have a higher propensity to claim" Higher than whom? Only those that have never made a claim I guess.
The following is not a joke:
My wife called me just before I started typing this reply to ask for advise..... she was with my daughter in law and grandchildren. Daughter in law left the car parked and when they returned they found the car next to hers damaged one of the doors of my daughter in law's car, as the driver tried to squeeze into a space too small. They had taken pics and videos of the damage and paint marks. I said.... "run, run for your life

"