My husband had the same case. What we did was we provided the DMP with my husband's lab results, abdominal xrays, and certification from his hepa consultant that his hepa B is "inactive" and non-communicable. I think it will depend on the SGPT/SGOT result of your lab, if its normal, hepa B carrier will pass the med test.
Actually, CIC looked more on his previous TB history, though it was inactive. My baby and I had no issue eith health. But my husband was requested for a sputum test and before/after sputum test xray. This has caused us delay of 8 weeks for the sputum test result.
We got our visa yesterday, apr 21. But, there was an attached medical surveillance form on his COPR probably because of the TB history.