So the issue we see here in Acts 11 is whether or not non-Jewish believers in the Messiah need to first become Jews in order to join the Church. So Peter tells his experience from the top in the detail, and really nothing else needs to be said. It’s almost bizarre that Luke tells the whole story in such detail, but maybe he’s trying to make a point. The admission of Gentiles into God’s people without taking on Jewish identity was central to the spread of the good news about Jesus.
Though a few significant details are added here. “Being saved” would be the result of Peter’s message, so Peter’s message wasn’t some addendum to a salvation Cornelius’ already had. Peter says the Holy Spirit fell “as he began to speak.” The Spirit is surprising and sovereign. And Peter mentions Jesus’ words about Spirit-baptism.
