Why would Paul insist on such a public spectacle? It wasn't about saving face, but about protecting the message.
Paul's refusal to leave secretly wasn't just about personal vindication. He understood that their ministry was on trial just as much as they were.
If they were seen to be criminal, law-breaking rabble who were secretly smuggled out of prison, it would deeply damage their reputation and hinder the spread of the Gospel in Philippi. A quiet, secret release would confirm the false accusations in the public eye.
Therefore, Paul demanded that the magistrates themselves come and escort them out. This public acknowledgement of error would demonstrate Paul and Silas's innocence and the magistrates' injustice, thereby safeguarding the integrity of the gospel message they proclaimed.