100% of babies that tragically do not survive birth at hospital would share the same fate were they birthed at home but some of the babies who tracially do not survive at home could possibly have been saved with rapid emergency medical intervention (definitely not all but some). Same goes for the low chances of serious complications for the mother (post natal haemorraging etc..)
THERE is much in your post to discuss, but i only have a little time right now. I disagree with this statement. Many procedures conducted in hospital cause problems that lead to further interventions that have the potential to increase disability and death in mother and child. constant fetal monitoring and induction of labour are just 2 such procedures.