Don't know about the different provinces, but inasmuch as there seems to be a standard form, i would be suprised if health exams at specified entry-exit exam centres were not transferable.
I actually had my exam done in Liaoning this spring before i left for Canada, and used it for my visa. At the visa office in Toronto, the clerk was surprised I was using that instead of a form filled out by my doctor in Canada. I had to explain that I'm normally resident in China, and haven't seen a Canadian doctor in over 10 years. And I kept a copy to submit with my application for the expert cert when I got back to China. (They might have balked at that, as techinically I was out of the country since I got the check up done, but they didn't) Uni says they will reimburse me the 500 rmb some time this week.