Once these characteristics are known, it would not be particularly difficult to model them (at least for the longitudinal motion), and to use them in a simulation to produce your statement.
HN39: Exactly.
We can only hope.
RetF4: The autotrim is not a pitch rate augmentation system, it is a follow-up. It does the same thing as any aircraft trim system and trims out dynamic pressure that would tend to alter the pilot's pitch command. Dynamic pressure has to change to result in an automatic trim change just as would occur in your F-4 (or mine) to clue you that you needed to input a pilot actuated trim change.
It does not trim for load factor, it trims for force (Q) which would alter the pilot commanded load factor or the existing flight condition load factor if the pilot was either not inputting a command (SS neutral) or unable to change the existing flight condition load factor with his command.