There are different types of firearm insurance that exist or are trying to be enacted:
CCW -- only necessary for anyone applying for a concealed carry license
Firearm Insurance -- covers the owner in case of fire or theft loss of firearm/s
Liability insurance -- Not only covers the CCW licensee, but any gun owner if they accidentally cause injury with a firearm or if their firearm is used in a crime with or without the owners knowledge or permission.
The real intent is to jack up the cost of firearm ownership and thereby reduce the number of gun owners in the US.
Former Senator and present Governor Josh Green proposed a bill in 2016 to require ALL GUN OWNERS to have liability insurance, and he made the comparison to car insurance.
https://www.hawaiinewsnow.com/story/31075992/proposal-would-require-gun-insurance-firearm-renewals-every-5-years/"They have to pay insurance so that if they're in a collision and they hurt someone
else who's an innocent bystander, it's covered. Just like with guns, if a gun falls into
the wrong hands or if there's an accident, just an accident, it makes a lot of sense to
me that we have that extra level of responsibility," Green said.
It's an added cost of ownership that would rarely be used by a small fraction of gun owners. Remember, this was 4 years before CCW licenses started being issued in 2022.
They pretend insurance is to defray the costs associated with gun injuries, but there are plenty of insurance policies that cover those medical costs. This would enhance the amounts so anyone injured by your gun, whether or not you pulled the trigger, can sue you for a lifetime of damages. They want to disincentivize gun ownership -- either because of the cost of insurance or the amount people can now sue you for even if your gun is borrowed or stolen. If the victims' damages exceed your policy's limits, you would still be on the hook for the rest.
While this thread limits the topic to CCW insurance, the actual issue is much deeper. Not having a HI CC License won't help you avoid getting insurance if they have their way.