The $38k package is not all inclusive. For my delivery (via emergency c-section), I spent in total HK$68K just with Dr Choy. Most of the tests (blood tests, sugar tests, etc) are not included in the package. Dr Choy will also recommend that you purchase calcium tablets, folic acid tablets, maternity socks and belts from her at a very high mark-up, so you can save quite a few thousand dollars by buying these things elsewhere.
On top of that, the hospital bill with St Pauls Hospital (semi-private room) came up to HK$100K. The hospital bill includes the costs of anesthetist and the PD.
A search on Geobaby will also give you some historical feedback.