I have an idea about how to resolve a conflict between the pilots and an automated flight control system. Does it make sense?
You actually bring up an interesting point.
The force gradients in the elevator system in a non FBW airplane are set by  some form of bungee system, like springs, that you are pulling against.  The hydraulics drive the control surfaces and there is no actual tactile feel, beyond what the feel force system imposes (think of fully hydraulic power steering in a big earth mover where there is no mechanical feedback to the steering wheel other than some form of spring centering unit).
The feel force is typically set to increase to about 50lbs at full travel, less at lower speeds and with flaps out, maybe 30lbs.  So the &quot;two hand pull&quot; required to get full elevator is there by design.  The force gradient is necessary to give the pilot a sense of how hard to pull and tries to approximate the forces on an airplane with mechanical controls.
You could easily design the feel force unit in the airplane to reduce the spring load to make the stick lighter for whatever purpose you want, and modern airplanes with the newer flight data recorders already have force sensors in the control linkage to provide data to the Flight Data Recorder, so the hardware is already there.
Problem is, the force gradient is needed to keep from overcontrolling, and either overstressing the airframe when above &quot;maneuvering speed&quot; or going into an accelerated stall when below it, from making large control inputs.
Where that kind of feature could be useful however, is during stab trim runaways, especially runaways to full nose down, and what happened in the MAX events, which was more or less similar to a ND stab runaway (the MAX's inadequate MCAS architecture got away with it by taking credit for the existing stab runaway procedure as a mitigation).
I've done those sorts of runaway scenarios in the simulator during recurrent training for the CRJs and the full nose down runaway leaves you wishing the feel force could be reduced as you have to continuously hold 20 or 30 or 40 pounds to keep the nose up.  It's very unpleasant (in the RJ, the fix was to get the flaps out one way or another, which drastically reduced the required feel force thanks to the pitching moment of the flaps reducing trim speed,  plus the feel force reduction that results from flap extension).
To implement what you suggest, you would have to have the feel force system set up to respond to an uncontrolled stab trim runaway by reducing the feel forces.  I'm not aware of anyone who has done this, and certification would probably be quite difficult (there will be many many unintended consequences that have to be ironed out, such as how to get the system to decide what a legitimate runaway is in a reliable way, and then how to get around the basic feel force requirements in a temporary way).  The certification hurdles are the likely reason this concept has never been done.