"Also to say - you have to look at the risks to the woman and the baby separately if at all possible imho"
What about factoring in the risks to a baby of having a mother die or become catastrophically ill during or following emergency surgery? It can happen. It does happen - every year in the UK, although it's rare.
What about the risks to any babies born to mothers in pregnancies following on from a birth which ends in emergency surgery? What about the risks of going through another pregnancy and birth with a scar on the uterus (between 2 and 7 in a 1000 will experience a uterine rupture during pregnancy)? What about the 7 to 8 women in every thousand whose c-section leads to an unplanned hysterectomy? Possibly increased risk of stillbirth in the next pregnancy? These risks are listed in the consent guidance for C/S on the RCOG site.
We really need to take into account the risks and benefits of birth choices beyond that of the immediate baby, and acknowledge that an uncomplicated vaginal birth pays big dividends further down the line in most women's reproductive life, and that a c/s often results in diminishing returns in terms of pregnancy outcomes with each subsequent baby.
It amazes me that Alice Roberts clearly doesn't consider the doubling of the surgery rate for low risk multips giving birth in CLU's (without any improvement in neonatal outcomes) an important enough issue to give any weight at all to in that article.