I had Hobbit and LOTR side-by-side for about a year. For a time it seemed like The Hobbit was "the better" game. It's bigger, glossier, has a talking dragon, a big screen, dozens of modes, an amazing light-show, great sound...
I ended up selling Hobbit and keeping LOTR because once the honeymoon is over with Hobbit the game just got tiring to play. I would definitely recommend playing one and even owning one, but I would expect to eventually trade or sell it.
TAF doesn't have a big screen, a talking dragon, pop-up monsters, dozens of modes, stereo sound with cinematic music... But it would probably be a more fun game to own and would stay in a collection longer. It's just a classic.