Hi Hazlenuts
However,(...) there are feedbacks within the AoA protection law aiming at damping the phugoid mode (low frequency mode). The feedbacks are CAS and pitch attitude variations. (...) if A/C speed is decreasing and/or pitch attitude is increasing, pilot's commanded AoA is lowered (...).
OK, I can go along with that. I was bitching that the actual phugoid mode would not have much effect on the short term motion, but I can see that the phase advance damping terms in the control laws might well do so.