Public news like that is intended - at least partially - for the domestic audience in North Korea, who are kept in line with anti-American propaganda and a perpetual fear of war. On an international level, it's sound and fury, designed to make the West think twice.
North Korea would never win against the United States. However, Seoul, one of the largest metropolitan areas in the world, is within easy striking range of hundreds of North Korean artillery pieces. The entirety of South Korea's densely populated country is within easy striking range of the North's short and medium range missiles. Japan, another densely populated American ally is within easy striking range of the North's medium range missiles. Even if we assume the North's long-range capabilities aren't comprehensive, then their artillery, short and medium range weaponry could still cause tens or hundreds of thousands of civilian deaths before the Americans would have time to take out the entirety of the North Korean military.
These warnings aren't meant as a threat that the North can go toe to toe with the States; it's a reminder that should the Americans attempt either a small or large scale assault, the North has an arsenal that could exact a serious toll against nearby civilian populations. Add to the fact the North could deploy nuclear or even thermonuclear weaponry - and likely would, if they felt their regime was facing an existential threat - and any American strike would have to be weighed carefully. The North's conventional and nuclear weaponry doesn't exist because the North believe they can win a war, it's there so that the cost of an American victory is too high.