Thanks for flagging this problem up. It's always been the case that some provinces and autonomous regions of China have insisted that their new recruits obtain medicals in their homelands. And some will insist you take a Chinese medical too after your arrival!
Another thing worth mentioning is that if you have a Chinese medical, it cannot always be transferred to another province. What I mean is that if you do one semester at one school in a certain province, and then switch your job to another province, the PSB in your new province will demand you take another medical although your initial medical is still in date by 6 months!