So the end result is, using trim in this situation, is gonna let me turn faster and get the kill rather then being killed.
The only time that would work is if you're going so fast that the elevators stiffen and won't delect all the way. 109's are particularily prone to this. In that case in real life, trimmimg up will help alieviate the pressure on the stick and allow the pilot to deflect the elevators to the maximum.
The trim tabs move in the opposite direction of the elevators and are small, thus realtively easier to move into the airstream. As the tabs move down, they help raise the elevator.
In the game there's nothing to stop you from moving your stick to it's max deflection, thus, instead, AH simulates the effect by limiting the elevator deflection until you manually trim up, then the elevators can finally move their full range.
At anything other than these high speed situations in certain planes elevator trim does nothing to improve turn rate because the elevators can only move so far.