Earth to media: Major League Baseball is NOT baseball!

The New York Times and the Hardball Times and all other major and semi-major media things continue to use the word baseball instead of MBL (Major Baseball League, my term) or even any version of the official name of the corporate entity that Allen Huber "Bud" Selig heads.  The Times would never use football for the NFL, nor basketball for the NBA, only baseball for its corporate entity.  This impacts how the media turns performance enhancing drug (PED) use by baseball players into a morality play and pays little attention to it among football and basketball players.

Office of the Commissioner of Baseball:

Major League Baseball (MLB) is the oldest professional sports league in the United States  ... The last nine seasons are the nine best-attended years by fans in MLB history, with each year eclipsing the 73 million mark. MLB remains committed to making an impact ...
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Even mlb.com refers to its corporate entity at least some of the time as MLB.  So why is the media, both old and new, still referring to that corporate entity as baseball?

Notice that MLB refers to itself a "the oldest ... league" singular.​  This is why I try to drive home the point also missed by the media that the old American League and the old National League merged into one league in 1999.  Hence my coining Major Baseball League (MBL) but I'll settle for MBL if only the media and MLB itself would finally deal with the reality of the damn merger.