Each LLM completion is a "hallucination" per design, some just happen to align with our world view and happen to be "factually correct". For the same completion, this may be different in other parts of the world.
These posts are a nothing burger
What the author didn't hammer on enough was his student's complete inability to think. At all. The example kid (who I suspect of being a composite) had relinquished all thought to LLMs. This is a failure of society in one sense. When so much emphasis is placed on the grade or the award, the learning or the process of attaining complex reasoning gets thrown away. As a society, we made "good grades" important, at least to a large extent because they're an easy proxy for harder-to-measure learning. LLMs are exposing that for a bad choice.