Personally, I think you are wrong. Firearms education should be taught by parents to children, and the lack of knowledge most people have is what happens when families break down, fathers are not in the home, and America moves from a nation based on personal self reliance to one based upon a cradle to grave nanny state.
I agree, however there will always be the percentage of the population that does not apply to. The population with single mothers for example, or bad parents.
It will always be better if provided by good parents, but it is better than nothing if provided by a school system that is alrready required by law for the majority of a child's years. The government already is setup to indoctrinate children for about 12 years, and more if you include college. If they really wanted a good outcome of firearm safety that would be included in the curriculum.
They however view firearms as a bad thing, and teaching firearm safety might make just 1 more person buy a gun than would have otherwise. So a bunch of ignorant people, with a larger anti-gun agenda population, and a few pro-gun people ignorant of firearm safety is the result.
That is the desired outcome. Rather than everyone being comfortable and knowledgeable about firearm safety.
My point is not that government is a better replacement for parents teaching firearm safety or sex ed. But if they are going to show kids how to put on a condom they might as well shown them how to point guns in a safe direction.
Face it even a child with great parents spends more waking hours being programmed by the curriculum and the associated views of the curriculum than by a parent. A child in public school spends 6 fully awake hours. Then they get homework for the hours they are not at school to think about. Most parents spend far less with thier children on a daily basis. That means for many the mindset designed by the government curriculum will be the dominant influence. They might rebel as teenagers, but by the time they are responsible adults it will be those influences that shape who they are and the associated views will be at least as strong as those of the parents they spend far less time with in thier developing years.