I have had a csec through the private system and the public. Hospitals were in buildings next to each other (so pretty much a joint hospital with private and public areas).
My private experience (with my first baby) was 1000 times better than my public one. The nurses were so helpful... Responsive 24/7.. Room was comfy.. Double bed for hubby... Stayed 5 nights... It made a daunting first time experience somewhat enjoyable. I was $7,000 put of pocket though as private health insurance in this country is a joke... Covers diddly squat.
My public experience (with my second) was horrible. Apart from the first night I got no help from the nurses. No help with breastfeeding. Yeah I had my own room but it was crappy and the aircon was broken... Was waayyyy to hot. Strangers hung around the hallway at night. One nurse suggested putting bub on formula on day 2 or 3. Lucky I knew enough by now to call her on that BS. I was shipped out early. Aftercare at home was a joke. I was lucky this was my second bub... If it was my first and I wasn't aware of certain things it could have been enough to send me into PND.
Anyhow in summary I am so glad I went private with my first. I couldn't afford to go private with my second, so can't change that. My first experience in private gave me the know how to cope with the crappy public treatment second time round.