Despite the fare rules, I'm pretty sure that flying QF JFK-LAX and then flying another carrier LAX-XYZ violates the rules of cabotage. It *might* be legal if you were booked on a codeshare -- for example, if CX codeshared on the QF flight and then you flew CX onwards -- but I don't think it is.
But absent a codeshare, QF is clearly operating as a domestic feeder flight -- and that's a no-no.
At least, that's my 2.73 cents (inflation, you know?)
Steve