Not familiar with that insurance market. Don't know if there are companies that specialize in it, or if most large insurers that offer liability insurance would write malpractice insurance.
But the point here is that removing the settlement of malpractice cases from the court system, or limiting awards should reduce the amount of insurance doctor's have to carry, and therefore reduce the cost of providing medical services.
For the sake of the argument not dissolving into “did not!” “did too!” I would hope one aspect of the research of tort reformers would include this.