A rigorous insurance market requires keeping costs reasonable. They depend on collecting enough premiums to build up reserves to pay out possible claims. That is best done in volume and through cheap rates. Like auto and homeowner insurance, different markets will appeal to different types of owners and financials.
but it could reduce the burden on society as a whole if it went into law.
Insurance registration would allow for both the record keeping elements and take out the “they will use it to take our guns like in Red Dawn” bullshit argument. It would also provide for gathering unbiased crime and loss statistics as they are necessary for actuarial tables. All because it is being done by a private industry which has a motivation not to have guns confiscated. As opposed to what people fear the guv’mint would do. Plus restrictions on an insurance policy are far less of an infringement upon personal freedom than laws.
I have an 8 year old niece, and a wife who has both a temper and was a former double black belt. I have a very compelling reason to limit access to firearms in my place.