@Shayne *********
I think you are correct except when you assert the stamp disappears after they get a new passport. With computers and biometrics, your history no longer disappears after someone gets a new passport.
Back in the olden days that was the case but with advent of databases the information stays virtually forever.
That being said, I doubt that anyone will hold that against children. But it could be an issue depending on how it is entered into the database and how much a future IO pays attention to the dates.