“What did women do all those years before men were allowed in the delivery room?”
Different.
They may not have been “allowed”, but they were certainly allowed right outside. (Oh and that situation with hospitals didn’t exist much until the ‘40s/’50s, very brief time. Mostly it was home.) They could be there and ready if something happened - like the baby’s or mother’s death/dying. Yes, it did happen, plenty.
Yes, it did happen, but much less so today.
Your points are taken, but mine was that sometimes daddy has a responsibility to be elsewhere at the time of the birth. This is one of those times.