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tenuous 3 different things happening there: bad reporting on a study and follow up bad reporting. Lies from people who want to show off their non-existent knowledge and fraud from sites that want to sell themselves or their products based on the bad reporting.
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tenuous "Fake News" is too imprecise a term to understand or even discuss these types of problems. It implies one cause, one solution, one problem. But this is a network of bad actors, mistakes and actual fraud. Each of which have different causes and potentially different solutions.