Plato put his own spin on Socrates, so can we “update” what he did as not debate, but a humble search? A search for the truth btwn speaker and listener having give and take, NOT AS Plato wrote as a search of a winner and loser – debate, argument,
dialectic. Aristophanes, in “Clouds” adds to the picture of Socrates with contempt and ridicule, and today most recall Plato’s version of a dramatic suicide rather than the betrayal of the selfish Senators. Yes, this is reinterpretation. You like it?
yes, put whatever distortions on it that please you. so long as the facts match the motives are yours to supply. This approach is totally consistent with the Greek ideas about history (the story being the most important part) and the philosophic ideals of truth and meaning