Then just explain me who was aware of who was actually controlling the aircraft since the PF though the AP was disconnected while it wasn't.
A "smart" person should understand why I'm curious about it.
SFLY
I cannot for the life of me understand why you think it matters so much. It's as though you have this scenario in your head that you'd have been more capable and thought through the dilemmas facing this crew with incredible Swiss watch precision, constantly monitoring every switch and display in the cockpit, fully aware of the exact drag coefficient at any point after the loss of thrust, and able to scientifically compute the best configuration and angle, all the while mentally preparing for your rightful hero's welcome after you had miraculously guided the aircraft into a textbook greaser right on the numbers.
As others have said, nothing is to be gained by your rather strange terrier-like determination to continue with pointless questions and surmises, best you retire safe in the knowledge that you know best. We won't mind. Honest.