With insurance, more complicated births aren't that much more. We were out of pocket $4k for the birth of our twins (maxed our deductible). The total 'sticker price; was over a million USD (they spent a combined 10 weeks in the NICU).
Our local hospital tried to charge our insurance $20k for 1 hour of the recovery room and $25k for 1 hour of the surgery room.
We have a friend whose hospital tried to charge them $15k for a delivery room they never used - never used because the doctors forgot about them and she delivered her own baby in the hallway. Talk about two major fuckups in a row.