And I did not find Eowyn that strong. Sure she had her moment of glory, but then she went back to the woman's world afterwards in her proper place. I like my strong women to stay that way.
Right, she went back to her proper place as queen and a leader of peoples. With battle experience and respect from her men and future husband. Just because she learned that her father had a point about those in charge putting their people before their own desires does not mean that Eowyn became weak, dude. Look at the larger geo-political context of Middle Earth.
Don't get me wrong -- I'm delighted that women and men readers want women characters who are portrayed as equal to men, and in fact, now expect it to be there or they're bored. But let's not miss the trees for the forest -- Tolkein wrote great female characters. Even Aragorn's elven princess, though nowhere near as prominent in the book as in the movies, was an impressive figure for her choices and self-resolve. There's just not a lot of female characters in LOTR, and that may create a lack of interest for some, just as Tolkein's style, from the Edwardian age reinterpreting epic mythological poetry, isn't going to thrill some people.
But these things really have little to do with Tolkien's "crown" effect on fantasy fiction. What Lord of the Rings did, and why it did have such an impact on the burgeoning fantasy market, was create a template of how to take the old epics and historical fictions and reinterpret them for modern horrific relevance on a sweeping scale. And our secondary world fantasy writers are still doing that today.
So regardless of whether Tolkien is more or less popular than he was in the 1970's, or how many books he's sold, pre- or post-movies, or how many schools teach his work or how many fantasy writers cite him as a direct influence on their work, Tolkien inadvertently opened up the doorway that Martin et. al. have marched through.
So he's not going away. Whether he will continue to be the measuring stick against which all secondary world fantasies and fantasies in general will be assessed remains to be seen. But, for right now, not only hasn't his ghost been banished, he's not even a ghost yet.
As for Rowling, I’m afraid you have no hope, Daily Alice. Rowling has not only sold more books than any other fiction writer, she has broken every record conceived of what fiction publishing can do. Plus, she’s a YA/children’s writer, which means she will be in print forever. So she’s not going away either.
But Rowling’s influence on adult fantasy writing is negligible. She may be the queen of fiction – not fantasy fiction, not children’s fiction, but fiction itself – but it’s unlikely most adult fantasy writers, category or non-category, are going to try and build off her world, style, themes, etc. She didn’t write the series for adults after all, but for the kids. As for the children’s fantasy writers, they were already doing that sort of thing before Rowling came along and they can’t copy her characters, so it doesn’t really change anything except in the film industry, which has realized that adapting kid fantasy novels means profits. This has certainly helped adult fantasy writers get Hollywood’s attention too, so market influence indirectly perhaps, but not really on the writers themselves.