(There is nothing private about CX F on B777. This myth ought to be debunked for good. )
All other 777 F have a 1-2-1 configuration compared to 1-1-1 on Cathay. Not sure but i definitely consider that more private especially the first aisle on cathay 777 since on seats 1a and 2 a are meant to be served by that aisle.
How you think an open seating in a QR F 380 on 1 -2 -1 is more private I am not sure. I have flown both and there is no comparison
etihad apartments/sq suites and the other closed suites like ANA, Emirates are more private but i don't find any non suites more private than cx 777
Been to the LH FCT and FCL. They dont have the size and privacy or the day bed (

)) that the cabanas have. aroma be dammed

) Two people can go into the cabanas and they let you take drinks in there