Yes,
I know you can label your beef as your beef if you want to market it directly.  I'm sure a company (such as Coleman) can advertise that all of the beef they sell is raised in the U.S. (if it really is).  In fact, Culvers already does this.
The problem with the scenario you asked about was they wanted a U.S. government program (which I assume the WTO saw as prejudicial to other governments).  We don't need the government's permission to advertise our beef accurately.