I don't believe that's true - if the sensor gives an erroneous reading, it's up to the pilot to recognize uncommanded trim and disable it by shutting off power to the system that moves the stabilizer.
Really, flying by instrumentation is what you're saying is the problem and that's the truth
Flying by faulty instruments is clearly bad, but flying by (working) instruments is much better than the alternative, every pilot going through instrument training learns very quickly that he needs to trust the instruments when flying in poor visibility, his senses don't work.
They could at least have both sensors active as a failsafe in case one is acting up
If you have two sensors and one is acting up, how do you know which one is true and which one is false?