You would think that HK doctors (British trained?) would be better than their mainland Chinese counterparts...
There is no way that I would go to a hospital in either, lest my kidneys make it back to the states before me.
They may be better trained that Chinese Doctors, but many of them (especially at the private hospitals) will tell you that you need a procedure you do not need.
Case in point - a friend in Hong Kong was diagnosed with cancer. HK$1,000,000,000 later he was completely cured. He got to talking to another doctor after the episode and that doctor had some tests done for him. He had never had cancer.
Since then he has heard from several other people that have been remarkabley cured. If you are in Hong Kong, go only to one of the government hospitals. Do not go to a private hospital.
In Mainland China, a friend had to have bypass surgery. He got real lucky. A doctor heart specialist from the U.S. happended to be in China for a seminar and the Chinese doctors asked him to look him. He had the surgery done there. The U.S. doctor told him he was very lucky he was there and that it was caught when it was.
Those are some of my direct experiences on the subject other than the times I myself was in a hospital in both Mainland China and Hong Kong.