Health Check requirement in China visa application

Hi there, just a question regarding health check in the application of China Z type. I hold a Singaporean passport and I have been living in Australia for the last 10 years. I was advised by a migration agent that since I hold a Singaporean passport, I must do my health check in Singapore (an Australian health check is not accepted) and I must have the health check certificate verified by the China Embassy in Singapore. If the above is true, it means I have to fly to Singapore and stay for a few days to complete these processes. Just want to clarify if this requirement is indeed correct before I proceed to do this. Also, will a health check done in Hong Kong be accepted as HK is part of PRC.
Thank you
JW