The amniotic sac usually breaks alone during delivery. Occasionally, it breaks out during labor induction. Similarly happens during cesarean section. It is extremely rare for doctors to bring a baby out of the womb "properly intact" in its natural environment. The toddler is not aware that he is being born.
This is neither threatening nor disturbing. Only when the amniotic sac is punctured does the child begin to breathe. Until then, you can see the baby in his natural "home" in which he stayed for nine months.