This is the way I see things (and possibly it makes me a Libertarian)
The government should not step in and interfere with a God-given right and process. If you want to give birth in a Hospital then it is your right. I chose not to, and I chose to give birth at home. It should be my right to do what comes naturally without government intervention. I understood full well that I or my child could die, and in fact could also die in a hospital. Such is life and death.
Doctor/hospital mistakes are the third leading cause of death in the USA - just behind cancer and heart disease. You can take your chances with medical intervention - I’ll take mine with God and his plan. I do it every day, in every way.
I’m glad it worked out well for you.