One of the things that opponents of gun insurance or insurance trade representatives often say is that insurance cannot cover intentional or criminal acts. This is simply false.
There are many kinds of insurance that cover such acts. The key is that the insurance pays to the victim and not the wrongdoer. It doesn’t have to matter if the deed is done by the purchaser of the insurance or another insured person. It is important the the policy be written to make this clear; policies that exist at least partially for the benefit of third parties typically work that way. Insurance that is compelled by law for an activity often applies in these cases even if it’s not spelled out in the policy, but courts differ on this point and an explicit requirement in the legislation and in policy language is a good idea.
Insurance textbooks teach that whether an act is accidental or willful is determined from the viewpoint of the insured. Mandatory insurance should treat a victim as an also insured party. This is necessary because the purpose of many kinds of insurance is to protect the insured against the willful acts of outsiders. An example would be a day care center that is negligent in screening visitors who might commit an abuse against a child. From that viewpoint, a act that is deliberate on the part of the abuser is an accident to the victim.