Originally Posted by Travelite

It all depends actually what is your goal. If primarily is to achieve *A Gold Status than TK is the fastest way. The overall benefits are the same when traveling across Star Alliance carriers I personally never had a problem accessing lounges, baggage allowances, fast track, priority check in usually F class check in desks, SEN lounges in FRA -MUC and ZRH, priority boarding ;I must say LH last winter during a terrible snow storm treated me as TK*G like a royalty and with great respect and professionalism. Once in a while I got an op-up as well.
However I do fly LH and LX cause their rates in Business Class are quite often 50% off the ones on TK.
It is true that usually in C Class you earn more miles on LH but you need more miles to redeem a flight. On TK award tickets are not a big problem and to redeem on other *A carriers there is a standard chart anyway for all.
Considering that you will be doing 3 times Australia to Europe in J class that means you could be even with LH quick on their high level.