Heard and McDonald Islands
Prevailing Southern Ocean current systems south of the present MH370 search area would appear to favour any MH370 flotsam eventually turning up along the shores of Heard and McDonald Islands - some 1400 kms further to the SSW.
I wonder how often ships visit these seal-populated Australian protectorates? (and whether they could/would ever be tasked to scour their shorelines?).
As far as Australian government departments with responsibilities in these areas would be aware, they'd just not know about any such visits by sealers or sea-bird harvesters. I doubt that any Jap whalers or such-like would ever visit these Antarctic-proximate islands except to ravage the seal-population - and wouldn't bother applying for visas to do so.