The Concorde Room is not a oneworld lounge, and so oneworld rules do not apply. Were you previously shuffled across to the F Lounge, or upstairs to the J Lounge?
As per oneworld rules, you are entitled to F Lounge access as you are connecting from a longhaul F flight to a shorthaul oneworld flight.
I do not think an inbound AA F flight allows CCR access but could be wrong.