The biggest misconception is that negative reviews and articles can outright be deleted. There are a lot of legal issues that must be taken into consideration and the situation is rather complex. A media outlet that wrote an article that is factually correct and supported by reputable sources has the right to keep hosting the article. A company or individual may find themselves in a predicament if they find yourself doing business with a corporation that claims they will permanently delete reviews and articles from search results.
Stay well faraway from companies that provide 100% guarantees of deletion from Google and deindexing.