Nike vs free speech and false advertising

Well, technically Nike is right. If it misinformed customers about product quality, usage of components that may pose health hazard, about non-existing discounts, etc., this would be considered a false advertizing that is a fraud in its essense. Working conditions in the workshops of the company abroad pertain to its internal affairs, maximum it can be issue for a lawsuit of the trade unions/governmental labor control offices in the countries where the alleged sweat shops operate. Company is not obliged to provide its customers with true information about salary it pays to any of its employees elsewhere (executives' salaries and bonuses may be of interest of the private investors, but this is not the case).