It's not clear which specific 'Caine' is being referred to here. It could be the character from 'Kung Fu' or some sort of made - up or less - known reference to a character in the world of 'Pulp Fiction' that has some connection to the idea of 'Caine' from 'Kung Fu'.
The Horatio Spafford story is about a man who endured much pain. Horatio had planned to travel to Europe with his family. But business matters kept him from going on the ship with his wife and daughters. That ship then sank, and his daughters perished. He later made the journey himself. As he passed over the spot where his daughters died, he was inspired to write the words that would become the hymn. His story shows the power of faith to sustain a person through the darkest of times.
Well, 'The Caine Mutiny' is fictional. The author created the plot and characters to tell an engaging tale rather than basing it on real events. But it might draw inspiration from various real-life situations and themes.
The Caine Mutiny has elements of truth, but it's not a completely accurate account of a single, real-life event. It combines real experiences with creative storytelling.
Captain Bush is an important character. He is often by Hornblower's side, a reliable and brave officer. Then there is Lady Barbara Wellesley. She has a special relationship with Hornblower and her presence adds a different dimension to the story. And of course, the crew members, like the coxswain, who play crucial roles in the various adventures.
The relationship can start with mutual suspicion. Horatio might be cautious of the OC's motives at first. Then, as they work on cases together, they begin to respect each other's skills. For example, if the OC is good at computer hacking and helps Horatio access crucial evidence. This mutual respect can grow into a friendship over time.
To some extent, it's based on real naval experiences and incidents, but it's not a direct retelling of a specific true story. The author likely drew from various sources to create the narrative.
In 'Pulp Fiction', there is no character named 'Caine' that I'm aware of. It might be a misnomer or something very specific that isn't a major well - known element in the movie.