Humble
I'm not an aero major, and when we get down to this level of detail, I don't have the depth of book learnin' to be an authority!
Earlier posts referred to 'trim drag'. In aero theory, trim drag is not what the posters seemed to think it is. It is not drag caused by being 'out of trim'. Instead, it is the induced drag of the horizontal stabilizer/elevator combo as they produce a force (lift) to balance the aircraft along its longitudinal axis.
As I have tried to say earlier, pilot trim is intended to relieve stick and rudder forces...it's a workload issue, not a drag issue.
Is AH correct in modeling trim as a function of energy conservation? I don't know. My last co-pilot was an aero major, and I asked him about it. He thought that in airplanes with trim tabs on the elevators that the total induced drag of the horizontal tail would be greater in a fully trimmed condition...he thought that an untrimmed elevator trim tab would produce little to no extra drag.
Here's how I see it. If we fly at a certain speed and a certain G load, the tail has to produce a specific amount of downforce lift to keep the aircraft at the required angle of attack. To do that, the tail will be deflected from its neutral position. To my understanding, the position that the tail is in to produce the required downforce is the same regardless of its trim condition. The trim controls are there only to help the pilot hold the stick in the desired position. In other words, when untrimmed, it may take 20# of stick force to hold the nose up...and when completely trimmed, it takes no stick force to hold the same attitude. The tail is in the same position in either case.
I see this issue as an 'apples and oranges' thing...meaning folks are talking turn performance and the item in question (trim) is intended to reduce pilot workload.
I do see a possibility that a pilot who has not trimmed can fly less efficiently that his 'trimmed' counterpart...but that would only be the result of the 'untrimmed' pilot not being able to hold the exact G needed for max performance. He may well be inadvertantly changing his G load (back stick position) from too much G to too little as he maneuvers. This would probably result in poorer turn performance and energy conservation.
In any case, I think the difference is so small that other BFM and tactics factors more than override it in importance.
Andy