Statement from Publix, as posted on their website:
Recently, due to continual complaints, Publix added The National Enquirer to the list of titles we permanently cover in our stores. Please know that this decision was based solely on a long history of customer complaints regarding offensive and objectionable material, not in response to a particular cover or any political views.
Publix is a company that cares about its customers, and we work hard to create a pleasant shopping experience. It is our mission to do our very best to satisfy all Publix customers, but unfortunately in today’s complex world this is not always an easy task.
Occasionally, we receive customer concerns regarding certain materials that contain objectionable print or photographs. As a result, our stores have "blinders" which are used to conceal these types of covers. Some magazine titles have pushed the limits with pictures and occasional controversial, sexual and inflammatory words that result in significant customer concerns. When that occurs, we advise our stores to maintain a permanent cover over such publications. A blinder will continue to be placed over this magazine every week, regardless of cover content.