Excellent analysis, particularly the key distinction between what Wu calls "adaptation" and what he calls "discussion."
Adaptation, however, isn't limited to telling the copyrighted story in another medium. It is one category of what the Copyright Act calls a "derivative work," which copies content from a copyrighted work and adds new, original material. The owner of the original copyright has the exclusive right to create or license the creation of derivative works.
Fan fiction that uses characters subject to copyright is a derivative work, even if it is in the same medium. As the Wind Done Gone case points out, there may sometimes be a defense based on parody/fair use. That didn't help the Air Pirates defendants, who put out a poster showing Disney characters doing various unseemly things (Mickey Mouse shooting up, e.g), or the people who put out a stage play that they claimed was a parody of GWTW. A fanfic story using Harry, Hermione and Ron (or Luke Skywalker or Captain Kirk) infringes the original copyright unless it falls within the fair use defense.
Much infringing fanfic is tolerated because i) it is given away rather than sold, ii) the quality is such that it is no commercial threat to the copyright owner and iii) it feeds the fan community that supports demand for the copyright work. But if Rowling chose to (and was willing to spend the money) she could chase down into the woods anyone publishing fanfic stories set in the HPverse.
This is pure speculation, but if there were a broadly successful piece of fanfic that took her characters where she didn't want them to go, Rowland's stated desire to keep artistic control over the characters would give her a good reason to sue the author.