While these could all be considered in some sense, dialogues, they are really quite different in certain literary respects. First person narration of Republic, Socrates as a possibly unreliable narrator, the temporal and character distance we see in Theaetetus, or the straight up style of Berkley. Playwrights even push these boundaries by incorporating other vehicles to convey meaning, such as physical sets, director notes (or the lackthereof) and so on.
When looking at the minutia of dialogue as a medium, we can see just how flexible and different two works, both ostensibly dialogues, can be. The series I'm working on will employ a wide variety of these narrative structures in an effort to approach ideas and character development differently, although the philosophical content and the characters themselves will appear in every dialogue.