They literally do this.
Although, believe it or not, it is healthy for the baby to cry. It forces the liquids in the lungs to leave and it begins breathing on its own. If a baby doesn't cry when leaving the womb, something is wrong. This behavior is seen in every mammal.
What?
The baby doesn't need to clear its lungs of amniotic fluid when it is being circumcised.
Circumcision takes place at least weeks after birth.
Besides crying at birth there is no medical benefit to screaming and crying. That's absurd.