If I recall correctly there were studies regarding newborn exposition to their first microbiome. It was found that through natural birth the infants were basically automaticallz inoculated with their mother’s microbiome, while those delivered through c section didn’t (found the study! https://pmc.ncbi.nlm.nih.gov/articles/PMC5648605/)

However it was hypothesized that this inoculation could be done manually via swapping the inner walls of the birth canal / vaginal walls and then expose the newborn mouth to those swaps.

Long story short - although there are some benefits to a natural birth, in the end the health of mother and child are most important. One part of the mental health of the mother can be the fear of the pain of birth. It’s her and her physicians decision and although as partners the men by their side should be there for her, they don’t get a say in how the circumstances he participated inducing will end (same goes for lesbian / diverse partners although they might not have taken a biological part in the start of the pregnancy).

Her body, her agency. Everything else should be coordinated beforehand as goes for every emergencies