It depends on the actual booking class.

I assume the whole itinerary is booked under an AA code. If this is the case, QF will award points only in classes G/L/M/N/S/V (50%) or B/H/K/Y (100%). The minimum amount for a mileage transfer is 5K miles.

If the flight is booked in one of the lower classes, earning 50%, they should earn around 10'100 pts.

Don't know about BA household account, though (but l assume BA to give only 25% for economy travel except for Y/B).

As others have said, the value of QF miles is lower than that of AA miles. Nevertheless QF awards on AA flights don't carry huge taxes/surcharges (but require more points).