Mirabelle, you get treated exactly the same way in a private hosptial - the money certainly doesn't buy you respect and you are still treated like a number - that's something that doesn't change. If you look into it, some public hospitals do have private rooms.
Public hospitals have private rooms but everyone is treated the same. If all the rooms are filled you will not get your own room even if you went as a private patient.

I also believe (the private hospital I went to) treated me better than how my friends were treated at a public hospital (3 friends went to a public hospital as private patients).

Of course there are bad and good nurses in both hospitals.

I chose private because i am terrified of hospitals and so with private my DH could stay overnight with me and it felt more like a hotel room rather than a hospital (the smell, the commotion)

For my second bub however, i may go public since I hope that I wont be staying there as long as i did for my first bub.

You can do a tour of both hospitals and then just write down the pros and cons of each.

In the end it is your decision and one which will make you feel most comfortable.

Best of luck!