The article is from "focus", a magazine that is known for ... well ... simplifying things without sinking quite as deep as the yellow press. In a way, "focus" is the yellow press for people who don't want to associate themselves with the yellow press.
The article in question makes a valid point in stating that Aspirin does have its risks. This information is not only correct, it's also useful and important to spread, because far too many people still believe in the myth of Aspirin as a wonder drug that even prevents strokes (even though there's no scientific basis of that assumption). For several years, the some media articles even recommended taking Aspirin without any specific indication, just as an alleged "stroke prophylaxis", which is madness plain and simple.
The article then goes on to recommend other drugs like Ibuprofen, and thereby destroys the good impression that the first half of the article gives. It downplays the risks of Ibuprofen, doesn't even mention the potential for habituation and addiction, and provides only one argument: Ibuprofen were "better researched" than Aspirin. As a sole argument, this is of course rubbish, it's the _results_ of that research that would need to be compared to the risks Aspirin. Such methods of argumentation are also the reason why I don't like "focus" magazine: While the yellow press never tries to hide its primitivity, "focus" magazine presents the same stupid ways of reasoning in the veil of serious journalism, which is worse.
Of course, the title of this thread is yellow-press level spot on, since it misrepresents the original article in order to achieve a sensational punchline.