if you artificially make the birthing process clean, you are not adequately inoculating your baby's digestive tract with the mother's gut flora
perhaps setting the kid up for opportunistic infection in the first days of life, inadequate digestion, malformed immune system (allergies), etc.
so you reacted to the ugliness of getting shat upon by your mother at birth, but your delicate sensibilities are not the issue: for millions of years, getting shit on at birth has meant we evolved with the timing of the introduction of the full spectrum of the mother's gut bacteria at time of birth. meaning a delay in that timing could be unhealthy for normal immune function, normal digestion function, etc.
we talk about how antiseptic living has increased allergies and other diseases. a clean birthing room might be a part of that constellation of problems. perhaps in the future, healthy child birth will consist of the doctor shoving his finger up the mother's ass and sticking it in the newborn's mouth to ensure full spectrum inoculation. this may sound disgusting to you, but it may be the healthiest thing you can do for a newborn's normal development