We went public for our first bubba purely because we didn't have the option here to go private. I had the worst experience and I'm still traumatised by it!
The private system and hospital have literally after 13 years of not doing it just started up here again (6th January). So its private all the way for us for the next one. We still have to birth in the public but I will have my private OB, then we get transferred to the private hospital for post natal care.