About the c-section rate, a lot of Hong Kong women seem to prefer a c-section. So I don't think the 75% rate can be attributed entirely to the doctors. I saw three ob/gyns over 2 pregnancies and all respected my preference to not have a c-sec unless necessary. In the public system, you can be absolutely sure that their policy is pro-standard-vaginal-delivery and pro-breastfeeding. However, if there are complications, like in my case breech position, or having earlier had a c-sec, they will lay out the possibilities and ask you to choose. I assume private-in-public-hospital would have similar policies.
About breastfeeding in public hospitals, while overall pro-breastfeeding, the practices may differ slightly where you deliver. I've heard mums who delivered at Queen Mary almost unanimously saying they had the baby at bedside from the start. I delivered at United Christian (same as Aquarian I think) and my experience varied between my kids. For my first, after a standard-vaginal-delivery, my son was mostly in the nursery for the first day with us encouraged to breastfeed on a four-hour schedule and at my bedside thereafter (which i frankly found very tiring, since my son was probably hungry and refused to sleep and I refused to give him any formula). For my second, after a c-sec she was in special care unit for a day (due to a pre-diagnosed kidney condition) and once she came up to the nursery, they encouraged me to keep her at my bedside and breastfeed on demand thereafter.
If you're in a private room, I suspect they'll be happy to let you have the baby at bedside. In the wards, I suspect their policies take into account by other factors like scheduling bathtime, pediatricians rounds and letting the other mums in the wards rest.