As many of you already know, Palantir is an AI surveillance company, and in the Legendarium (the term for every piece of LOTR lore, including Unfinished Tales, the Silmarillion and more) the Palantir are magical stones made by the Elves that both allow people who wield them to communicate with one another, mostly used to manipulate and decieve the viewer, but there's more companies that I didn't know existed until looking various terms up as a result.
Anduril (Flame of the West in Elvish/Sindarin) is the reforged sword given to Aragorn, made from the shards of Narsil (in the books, it's reforged before the Council of Elrond and Aragorn carries it with him the entire time, as book Aragorn has essentially already gone through his character arc and just wants to be king, while Jackson's Aragorn receives Anduril as a gift from Elrond during the Ride to Gondor, in order to show the Army of the Dead that he is Isildur's heir and gain their service. The Thiel company is a drone company.
The Valar are the first of the beings created by the Abrahamic God of the Legendarium, Eru Iluvatar, effectively demigods, and the Thiel company is a VC investment firm.
Mithril is a metal lighter than silk and stronger than steel mined by the dwarves, which most notably in the trilogy is given to Frodo before leaving the Council of Elrond and saves him from getting stabbed several times, and while this isn't the last company (it's another VC investment firm), it's just really weird seeing someone intentionally take these terms and pervert them for his own purposes, as if he's trying to supplant Tolkien and have those terms remembered for how he uses them.
It's worse. It's spitting in Tolkien's face as he lies dead in his grave.
The entirety of the Lord of the Rings is an anti-war, pro-Christian metaphor. Tolkien was staunchly anti-war after his experiences in WW1. His service during the Battle of Somme is especially responsible for his anti-war sentiment and it's easy to see why. The battle remains to be one of the bloodiest in human history. The marsh scene where Frodo sees dead bodies floating in the water is directly based off of Tolkien's experience during the battle where he saw thousands of his dead countrymen lying down in puddles across entire fields. When he came back from the war, he learned his best friends from high school died in battle. Unlike Thiel, who has probably never even been in a fight much less a war, Tolkien was hardened by his experiences.
Tolkien was also against technology. He saw it as another tool of the elite to control human behavior. Tolkien described himself as a hobbit by nature and enjoyed the same pastoral life of good tobacco and hot food that the hobbits do. The Shire is his vision of utopia. When Frodo returns to the Shire at the end of the books to find it industrialized and destroyed by Orcs, that is Tolkien's metaphor for his own hometown turning from a beautiful English landscape to an industrious and ugly factory town. The only thing Orcs are better at doing than all of the other races in Tolkien's universe is technology.
The Ring's intoxicating and corrupting effects is Tolkien's belief that power corrupts even the noblest of intentions and wielding it will turn you into the very thing you sought to destroy. Tolkien believed that good, humble, and ordinary people like those he served with in war were the true history makers. Sam, Frodo's fiercely loyal servant, is Tolkien's direct metaphor for how deeply impressed he was by the ability of his servicemen, who often came from nothing, to go through literal hell to come out the other end. Naturally, all hobbits are based off of these men, which is why they are naturally resistant to the power that corrupts the ring more than the other, more "special" races.
For Thiel (and Palmer Lucky of Anduril) to name his ultra-militarized, ultra-technological, and ultra-powerful companies after Tolkien's legendarium is not only to misunderstand Tolkien's series so badly that it is indistinguishable from malice, but also to spit in Tolkien's face and to piss on his world. Thiel literally is Tolkien's warning and the reason for writing the series. The irony is on cosmic levels. Tolkien would be absolutely furious.