I would disagree with one of your points.And that proves what about them as people who received God's sacrament in infancy?
There are all sorts of people who leave the church in later life, or OTOH grow in grace instead...or just about any other scenario you can mention.
Baptism is important and beneficial; that doesn't mean it guarantees a certain outcome--not anymore than receiving a 'Believers Baptism' as a teenager or adult does.
Although a agree that baptism at any age does nothing... Most people, that I know, got immersion baptized after they accepted Christ... Their baptism, then, becomes a public expression of faith..
Their salvation is galvanized as they are a child of God... the baptism expresses their choosing Christ as their savior to the world... as Christ commanded us to do.
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