I dont read a lot of fan fiction, but with those that I have read, and if the names of the characters are Ennis and Jack, I have put the face of Heath Ledger and Jake Gyllenhaal to those characters....definately not the faces described in the book.........Heath and Jakes face did not belong to her.
The stories re-written.....does she think for one minute that her characters are the only ones who have ever gone through what they did, or that stories along the same lines can end differently. Does she hold the copyright or the "ownership" on all cowboys,or all gay men who fall in love.....no she doesn't.
I dont know what those writers think Annie will do with their fan fiction if they send it to her. What could she possibly do with it. And that part of the interview I guess, I can agree with her feelings about that. No doubt, others involved in the film get the same fan fiction sent to them, but they obviously follow the road of common sense and throw it away without talking about it.
If people want to write fan fiction, then that is their perogative. If we wish to read it, we have that same perogative.