There is a evidence that folks who have been involved in one accident are statistically at a higher risk of being involved in another. There are all sorts of complex reasons for this but basically it boils down to the fact that accidents are very rarely the fault of one person alone, even though one person is the ultimate cause. Unfortunately statistics are just odds, and can't convey the complexity of individual circumstances. For example, although the favorite in a horse race wins more often than not, you can't predict the outcome of an individual race by betting on the favorite. So it is with drivers. I can sympathise with the justified irritation that a blameless driver feels when the premium goes up after a no fault accident, but the odds are against him. And insurance is an odds based business.
PS I have no connection with the insurance industry.