Haven't heard of glassdoor before, but the article repeatedly states that the name is not shown to the employer and that reviews are still anonymous. That is not the issue though. The issue this person and the author have is that there might be data breaches or that there might be information on fishbowl that would link your account name to your real name. And they make out that this is a real possibility. Also they have an issue with the company trying to find out your real name and saving it without consent. They do not say in the article that your real name would be visible right now.
But by you talking about "the media" I guess you are trying to find reasons to further your already present distrust in any media that contradicts your beliefs?