Horatio lives to tell the story. The initial H was probably pronounced in Shakespeare's time, too. But if we ignore it, Oratio is "speech," "oration," or "discourse." The Latin sense of oratio is persuasive or sacred discourse.

Act 5, Scene 2:

“Horatio, I am dead;

Thou livest; report me and my cause aright

To the unsatisfied.”

Hamlet and (H)oratio fulfill complementary roles, they are the two sides of the same coin -- in the theater of dreams, every character reflects a fragment of the dreamer’s own soul:

Hamlet as doer and maker, drives the plot through action, madness, and revenge.

Horatio as preserver, witnesses and narrates the story, ensuring its legacy.

And with that, the dream's cast takes a bow—badaboom, it's all you, dreamer!