I think I am really saying that behavior is inherent in all ‘stable’ aircraft. (Full scale MU-2 stab airfoil appears upside down!) If your stab were neutral, the plane would be incredibly twitchy in pitch.

Fortunately we don’t have to do any <significant> rudder only maneuvers (stall turn not withstanding.) But I do understand giving significant correction can cause undesirable pitch deviations…so get the wings level (or perpendicular) before pushing or pulling (at least that’s what I’m working on!)