"... it may indeed be true that if the elevator flap is lost, but the elevator plane itself still remains attached it indeed contributes a balancing force against any movement of the remaining elevator, since if the camber of the whole elevator plane does not change due to movement of the elevator flap, the symmetry of the profile always causes a force opposite of the camber of the other side that tries to control the pitch..."
I was a bit unclear with this but what I meant was only my own realization of what HT tried to say in other thread was actually true: If the camber of the functioning elevator changes and that of the damaged one does not (it cannot, no elevator flap), the damaged one with its symmetrical airflow, now with lifting force produced to wrong side, will resist pitch change that the functioning side tries to achieve acting as a balancing force to any elevator control that tries to change the balance (i.e. 0 AoA) of the remaining symmetrical plane.
"So I would say that stipulating that condition is kind of superfluous."
As a main lifting plane that is true because it would not be airborne at 0 AoA to begin with. But as a contol plane it can be in a neutral state where it does abolutely noting but contributes only drag when a CoG happens to be exactly on the middle of CoL in flight. Any change in elevator flap position will change its camber and thus start to produce lift to either direction. If, for some reason, the CoG happens to be rear of CoL the tail plane needs to produce lift too, to balance the flight i.e. the trim is nose heavy to balance the actual tail heavy flight condition.
Sorry bout the confusion that was on my end but I hope I got it right now...
-C+