AH isn't equipped with any trim tabs, so it moves the whole elevator, rudder and ailerons
All a trim system does (whether it is tabs, like most planes, or moving a whole stabilizer, like the 109) is change the zero-stick-force point. That is exactly the effect in Aces High, and so it is completely realistic.
In other words, there is the graphics of what it looks like (such as "I don't see a trim tab moving") and there is the underlying math modeling (which is how the dynamics work, which is the important point). You could have an airplane fly realistically and have graphics not show the control surfaces moving at all. Graphics are just the look of it, not the working of it.