Anything that makes birth less traumatic for the baby is a good thing in my opinion. It would seem logical that this innovation would be greatly appreciated by those mothers who need to have a section.
Here is the link to the Natural Cesarean article in BBC News.
Doctors at Queen Charlotte’s hospital in London are pioneering “natural caesarean” births with the aim of making the surgery less traumatic for mother and baby.

Normally, after the incision, babies are delivered rapidly behind a screen. But in this case the parents, Sheri and Jason Tan, are able to watch the baby’s head emerge.

Queen Charlotte’s says the natural caesarean is now becoming an established procedure at the hospital.

When I gave birth to my second child by c-section, I asked to be able to hold her for a few minutes after the surgery, but the pediatrician wanted to suck out her lungs with the little tube, so I was able to give her a little kiss on the cheek and then they took her over to the station where the baby sucker was and that doctor just kept jabbing it into her throat. It felt like she was doing this baby torture forever, and after a few minutes she said she wanted to put her under oxygen in the nursery, so Paul carried her down to the nursery while I was stapled back together. When I arrived in my room after the surgery I told them to bring me my baby and I pretty much kept her in my arms or in my room for the four days I was in the hospital after the birth.
My husband or my mother stayed with me the whole time and I had a reasonable recovery. The most difficult experience of all, after having a knife in my belly, was walking up the three flights of stairs to our little third floor walk up apartment once we arrived back home.
By the time I was up to the third set of stairs I was bawling, Paul kept helping me lift my legs, and as soon as I made it into the apartment I did not come out again for three weeks.
We had a c-section after twenty hours of labor because I had refused to have an ultrasound during my pregnancy and it was discovered during labor that she was breech.

Jenny Hatch