As a fan of post-modern movies, I would love if this was the case. However I’m afraid that you are misremembering history a bit here. Postmodern movies heydays have long passed. I’m afraid the reached their peak in the 90s with e.g. the Danish dogma movies (pun intended), independent American movies like Clerks, etc. In fact Pulp fiction was a counter punch to the scene by taking elements of postmodern movies, telling a pulp story and dressing it in a Hollywood film. Ironically it is a long running joke among postmodernists to over-analyze Pulp Fiction with a postmodern reading.
Postmodern films got a tiny resurgence around 2007, but never with the same popularity as the pomo scene of the 90s.
So Lord of the Rings is made between those two modes. The movie industry is living in the wake of the unexpected Titanic success, and the studios are trying to create the next big hit. Movies like Gladiator, Pearl Harbor, Cast Away, Meet the Parents, The Mummy, Moulin Rouge! or Chicken Run etc. is what most people are seeing. The themes of the post modern movies is indeed far away.