Can confirm. Moved from US back to Australia. Had one child born in USA, one in Australia. Neither birth was super-complicated (both in maternity hospitals)... The most expensive thing about the Australian birth process was the parking - had to pay an exorbitant $24/night to park in an open lot. So the whole thing cost about $36 or so.

I forgot the fees on top of our insurance in the US (it being >16 years ago) but it was pretty steep.