The Scarlett Letter is a famous story written in 1850 describing what happens to a women assumed to be an Adultress in a Puritan Colony.
What you see in that video is American Tradition with a capital A. In liberal churches, yes, they chastise the boy too. In better quality churches they chastise the boy too, yes.
But it will be private. It will not be public. But you will find MANY examples of girls being publicly shamed throughout history. You rarely find it of boys because “they have a future”.