The idea is that by eliminating the red tape associated with state insurance regulation, insurers will be able to offer national plans with lower administrative costs. That would expand consumers’ choices and reduce the price of insurance.
No, the "idea" is to restore competition in the industry by subjecting the companies to Federal Fair Trade Laws and Sherman Anti-Trust Act laws. Presently, all these companies operate in a "state" with individual "state" companies that are regulated by the State Insurance Commission. No anti-trust, no fair trade laws. They are free to collude, price-fix and create monopolies through anti-competition behavior. The McCarran-Ferguson Act of 1945 was passed by Democrats in Congress and signed into law by Harry Truman to bypass a US Supreme Court Ruling on the subject of the insurance industry and the Sherman Anti-Trust Act. The McCarran-Ferguson Act exempts the insurance industry from the Sherman Anti-Trust Act, if regulated by a state.

It's a strange phenomena that people write articles on a subject they appear to know nothing about. Of course they could just be Democrats trying to protect their insurance monopolies.