This is an interesting question... do let us know how you go.
My initial thoughts are that yes, you should be allowed access as an Admirals Club member as you are flying Qantas, with a QF flight number, and the lounge is a Qantas operated lounge. But the AA website does not give a clear answer. The Admirals Club location listed is not the Qantas lounge, meaning you would only have access to that particular lounge if flying AA. The website says you have access to "select" Qantas lounge locations but doesn't actually say which ones.
I think calling them is your best option. The key thing to remember is that as a 30 day membership holder you get all the benefits of regular Admirals Club membership - so I probably would leave out the fact it's a 30 day membership when calling in order not to confuse them.