You are right, the results do NOT prove anything, just like the facts in the other article I referred to did not prove anything. But what were the headlines? What was the message in both articles? Anti-supplement headlines and messages!
Where do you think the articles and the headlines came from? Most medical science articles are actually written by mainstream medicine and fed to their friends in the media who in turn are happy to print them intact, headlines and all, in return for getting the "inside information" from one of their largest sources of advertisements (how many full page color SUPPLEMENT ads do you see in the newspapers and magazines?).
It is the habit of the media to over react and sensationalize, but the media has been "jumping on" mainstream medicine's propaganda as though it were definitive for generations now - including a half century stream of regular breathless announcements about startling cancer breakthroughs and promises of cures that are just around the corner and overblown stories about supplement dangers and snake oil salesmen.