No, absolutely not.
But what they are doing is the wrong thing. They are opening up British Columbians to civil suits, if I’m understanding the new regulations, which may be frivolous. This is totally the wrong way to go about insurance. Otherwise what are we paying for if insurance isn’t actually insurance?
What you could sure for would be extremely limited, as per the link. Manitoba literally has this exact system with their public insurer. Ontario has it with private insurers. It's not that crazy. ICBC bleeds court costs and payouts like no other insurer, billions of dollars a year. You can debate as to why that is, and say that its all legitimate, but either way something has to change.