HF
I assume you are referring to LH, SQ and TG? Although OS and NG wouldn't surprise me either.
SK currently don't fly to the region at all. However, HF, you and I both know that there is a lot to do before QR is going to be ready to fit into any alliance.
However, with QR now having certain "individuals" on board (SV and BH), whose sole purpose is to gain the airline entry into a grouping, things may just happen!
But bmi are already code sharing more extensively with GF than they are with QR. Wouldn't GF's entry into the alliance create a bit of a threat?