Let's talk religion.
If humans of the future discover partial copies of the Star Wars films, it could very well be enough to serve as the basis for a new religion for humankind.
If future humans discover LOTR, they'll just take it as evidence that early humans lived primitively and had no centralized spiritual theory.
It is a little known fact that an ancient sumerian series of epic poems titled (in ancient sumerian) the "bib le" served as inspiration for the "Bible" of the Judeao-Christian belief system. In bib le, a series of heroes set off on quests to free their people, etc., from raging hordes of mummies. For example, in "bib le II" the hero "moses" uses what can only be called "The Force" to move the ocean aside to cross the Red Sea and smash the raging zombie hordes behind him.
Up until 2004 the only known copy of "bib le" was a very incomplete set of scrolls discovered in a cave in Israel. Carbon dating has placed its age at around 4,100 BC. It is believed, among some, that the "Bible" was based on this incomplete account.
But the discovery of a complete set of scrolls in Iraq in 2004 revealed the true nature of the epic poem series: it was the world's first action adventure.
So mark my words, 10,000 years in the future, humans will be worshiping "The Force" at "Jedi Temples". Frodo will have disappeared from humankind's imagination.