People will still want and demand car insurance. Stuff still happens, and I want my car and injuries paid for. So they'll still be around. It may be a smaller industry, but it won't kill them.
I don't keep enough cash to go out and replace my daily driver, in kind, today. Even if it was someone else's fault and they're eventually required to remunerate me for the loss, that can take months.
People don't like the cost, but they like the benefits when they need it.