The thing about this discussion that leaves me wondering is this...both of my children had jaundice. Jaundice develops from the body breaking down the extra red blood cells needed for oxygen transport in the uterus. Once the baby is breathing room air (instead of depending on mom's arterial blood supply for oxygen) their livers start breaking down the extra unneeded cells, which results in bilirubin circulating in the blood. The baby needs to eat and poop to get rid of this.
Susan Weed in "The Childbearing Year" says to cut the cord "as soon as convenient" to prevent jaundice.
Also, physiologically, a little bit of crying is good for the baby, it clears the lungs and helps close the foramen ovale and ductus arteriosis in the heart (switching from fetal circulation to "adult" circulation).
We worried about the little bit of jaundice our older children had, it makes them sleepy and not want to nurse, and then get dehydrated.
Also, in c-section birth I do not believe it is possible to leave the placenta attached. The baby must be moved out of the way for the surgeon to get in to extract the placenta, and the baby must be warmed right away to prevent hypothermia. Surgical suites are kept quite cold, and holding the baby near mom while the surgeon does his/her work would not be good for the baby.
Jaundice is a condition that every newborn goes through in some varying degree, from so slight that it isn't even noticed, to very severe and treatement is needed.
The only thing to beware of as far as cord blood and jaundice is milking the cord. No one should squeeze or slide their hands down the cord as this can give the baby a huge excess of red blood cells. If you allow the cord to clamp naturally this will not happen.
And as for the crying is good for the baby thing, what about the babies who are born gently and simply do not cry?