They demonstrated why it's not safe. No private insurer is willing to take the risk. If it was safe, then someone would see the opportunity to profit by insuring nuclear plants -but anybody who looks at the technology realizes they could end up having to spend on the order of a trillion+ in the event of a major disaster, and so walk away unless they have their liability capped at some small number.

Their point is very good - as soon as private insurers feel comfortable insuring nuclear power plants, then we have some evidence that nuclear energy is becoming more safe.