It's the "thees" and "thous" that break the immersion for me. It feels like reading the Bible. I just can't relate to characters who talk like that. They don't talk like real people
That's the whole point. The prose in LOTR is deliberately written to be in the vein of ancient epics such as the story of Gilgamesh. Tolkien's goal in writing LOTR was to write a mythology for England, which he felt was lacking. Saying they don't talk like real people is kind of like saying that vegetable soup doesn't taste like chocolate - true, but not really the point of the work.
Sure, I understand all that. But those are the reasons the book was hard to read and why I preferred the films
In the scene above, it’s just one character who talks like that: the one who was born a very long time ago, and still speaks with archaic diction. It may break your personal immersion, but real people actually did talk like that in Early Modern English, and it makes in-universe sense for a Ringwraith to hold on to old speech patterns.