Think of your fusalage as a fulcrum with the pivot point at the CG. Look at the picture below and you will see in the exagerated example that the more aft your CG the less you need to manipulate the tail feathers to change the pitch of the aircraft. The example with the more forward CG takes a lot more to get the same pitch change. Hence a plane with a farther aft CG is far more pitch sensitive than the same plane with a more forward CG.