That page is yet to be updated, and indeed I suspect won't be until the ACCC approves the deal.
This page details the proposed arrangements
http://www.qantas.com.au/agents/dyn/...fits120213.pdf
So the answer is Yes, but only on Dubai and Australian flights.
Thus a QC member flying
SYD-DXB-LHR-DXB-SYD would get access in Sydney, but not Dubai (which seems incongruous) on the way out, and London and Dubai on the way back.
SYD-DXB-FRA-DXB-SYD would get access in Sydney, but not Dubai on the way out, and Dubai but not Frankfurt on the way back.
Interestingly the PDF wording is diffeerent ot BDFs link.
Gold and Emerald members would get access to lounges in all ports