I gave birth at a public hospital for #1, but will definitely be going to The Matilda for #2.
I received minimal support from hospital staff, was not allowed to move and was on my back the entire 30 hrs, i was in an 8 bay ward during labour, gave birth without my husband with me, and my baby was taken away and i couldn't see him until 9 hrs later.
The poor delivery resulted in unecessary complications which eventually resolved themselves, thankfully.
Nine months after the birth, i was diagnosed with Post Natal Depression (as high as 50% in ex-pats).
If you have thoughts about being active during labour, having your husband/.partner there to help you, and doing your best to guarantee you can be with your baby after the birth, definitely consider private. Ex-pats have enough to deal with not having family and friends from home with you. And yes, i agree it was like an assembly line.