as far as I know Hbsag can be measure qualitative and also quantitative.
Hbsag qualitative - only say id the Hbs Ag is present or not and it is used for screening
Hbsag quantitative - this is the one of the latest test for HBV, and express the quantity of HBs ag in ml of blood and can be correlated with the activity of the immune system and maybe with the number of infected cells. also this marker can be used in order to monitor the response to the therapy.
I think that viral Load HBV DNA is the same with PCR HBV Quantitative and not Qualitative.
As a general comment "quantitative" measure should be show in "ui/ml"