Just coming back to this thread to say that the idea that breastfeeding is linked to a "natural" birth is just another stick to beat mums with.
I had about a bad a birth as I could imagine (but I'm sure many would have had as bad or worse) - I had my emergency c-section under GA after a failed syntocin induction, got sepsis, haemorrhaged, just about all the tick boxes of awfulness.
I still breastfed my dd until she was over 2.5yo, although it was mixed feeding initially.
I'm a big believer in the benefits of breastfeeding and "extended" breastfeeding beyond 2yo. In my view it's harmful to tell mums that breastfeeding is doomed if they've had an epidural or c-section. And tbh my NCT classes heavily implied this, that's why I wouldn't recommend NCT.
You've got pretty much no control over how your birth goes. You might think you do. But if shit hits the fan, you don't. There's no halfway-house between an emergency c-section due to fetal distress and "labour while walking".
What you do have (slightly) more control over is breastfeeding; you can work at it, get support, read advice, do halfway-house things like a bit of mixed feeding until you get breastfeeding established, etc etc. It's less urgent, risk of sudden death is less imminent.
So imo it's wrong to threaten mums with breastfeeding failure as a way to get them to avoid pain relief in childbirth.