I also could imagine that the historical battles are also easier with a joystick. With some planes, like the P40 for example, where they f*cked up the flight model you will have much more success with a joystick.
I mostly play HB, still with mouse but I guess that the performance gap isn't that huge as you have to encounter the g-forces and everything much more. It is not as easy to hit something as in the arcade battles where you simply have to move your mouse over the target.
But setting up the joystick seems to be a pain.