Romans 1-3 is specific, societal, and calls out/ rebukes people in the world for sin. It certainly doesn’t have only moral reform as it’s answer, but to show how the gospel is the “power of God for salvation.”
In 1 Timothy 1:8-11 Paul names individuals, their sin(blasphemy), and what he had done about it(excommunication). By definition, if someone has been “handed over to Satan”, they are of the world.