It's now a long break period. Students are on their vacation until the new academic session in September. So its time to catch-up with some readings.
Found an old paper by WEF (1998) "Do we need a gravimetric geoid or a model of the AHD to transform GPS heights in Australia". Its in WF7 paper #9. The paper elaborated on why geoid and LVD is not coincide by giving a scenario example of Australia.
In answering the question mentioned in the title (WEF 1998) suggested that it is preferable to use a technique that accounts for the discrepancies between the vertical datum and gravimetric geoid model. This suggested approach yields a model of the separation between AHD and the WGS84 ellipsoid. WEF pointed out this serves as interim solution until readjustment of AHD/or re-definition of AHD.
Similar approach has been adopted for instance by Jiang & Duquenne (1996) - J of G; and in USA by Milbert 1995 - Geoid Bulletin 4.
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