Of course they would: the problem is that there is a lack of feedback when incompatible input is entered.
Audio feedback was added since AF 447 but as well known sound is one of the first thing to be blanked out in high stress situations. Physical feedback provides a second stimulus, and one which does not get ignored as much.
The planes are FBW, the side sticks have no mechanical linkage outside their control box, there is no cause for a pilot to input significant force on the stick, and thus most every feedback would be sensible. Unlike a 737, the pilots are not physically moving the control surfaces.
> The moment one pilot does tug hard on the stick though, then the same problem is still there.
No, because the point is that the other pilot will feel the action and thus know that there are conflicting input. The sticks can even synchronise their movements, that way pilots can both see and feel that their copilot is inputting.
That is the point, making the existence of conflicting input clearer.
> So it will work most of the time except when you really need to
No.
> when the other pilot is panicking and won't provide accurate answers.
The sticks support taking priority, so a pilot seeing that their copilot is panic-inputting would be trained to press and hold the priority takeover button, deactivating their copilot’s stick.
You seem to be confused, obviously it won't work 100% of the time due to shear probability, it's not physically linked up so there will always be a possibility of one or both pilots ignoring every possible warning, shaking, vibration, mild pushback, etc... regardless of how well they've been trained on detecting these.
Whether it works the vast majority of the time, in practical situations, remains to be seen. Confusing a known, physically guaranteed, aspect of a system with an estimated likelihood of actual system performance is a common mistake.
Even with the most ideal deployment scenario, assuming it does get widely deployed one day, the real world performance reliability will likely not get anywhere near six sigma, let alone 100%.