Can but wont....could increase defence drastically but wont rock the interest/lobby financial boat...
Under the five powers defence agreement (which the Conservatives are looking to reignite), I'm sure the UK would commit a QE to the defence of the region as long as Europe is not simultaneously threatened. Assuming both the RAAF and RAF/FAA are both flying F35's, there is no reason why, through the existing long look programme, that RAAF pilots wouldn't be able to fly off a QE class (using UK airframes) as part of a much larger ARG, which would include a Canberra class (helo role) supported by a mix of RN/RAN DDG's.
The fact that the UK Commando's and Aus Commando's are twined and will continue to exchange personnel should further enhance cooperation. They both have to operate under similar conditions relying on purple assets as operational enablers.
Hopefully when the first QE is operational they will undertake a fly-the-flag tour and carry-out maritime exercises with both the US and Aus military. The same way ARK took part in a MANTF deployment before she was scrapped.
The fact that the QE is lean manned and reliant on a high degree of automation (weapons / munition handling), which if successfully implemented may encourage Aus strategic thinkers to consider a strike carrier down the line, particularly if the maths and manning numbers are achievable.
I would like to see a five powers exercise in Asia post 2020 comprising:
1 x QE
1 x Canberra
1 x Canterbury
1 x Albion
1 x Bay
4 x RAN/RN DDG's
2 x Singapore Formidable Class Frigates + Malaysian Maritime Assets..
1 x Challenger, 1 x Collins and 1 x Astute
RFA's