I had mine at the women's and I don't think I could have had better care.
I had the same midwife through out. And when I became high risk at 27 weeks I had an ob that didn't change the midwife also still stayed with me till the end. I also had neurosurgents looking after me at the royal melb and they worked together to care for me. My pregnancy was life threatening to me and my baby was in special care for three weeks. I don't think I could have got that kind of care at a private hospital.
If you can get into the women's I recommend it.