Your assertion is simply demonstrated to be untrue.
Inertial systems integrate all measured accelerations over time to compute present velocity and position. They are periodically corrected with external references. The accuracy is limited to the accuracy of the accelerometers, the sampling frequency and the accuracy of the digital math, among other things.
This IMU idea could be used, but I am not aware of any current commercial IMUs in airliners - but I am not an airline pilot so that does not count for much.
If I were given conflicting information I would see how the plane is acting. I have flown planes with various primary instrument failures over my decades, some in actual instrument conditions, and always had sufficient secondary sources of data to determine the situation. As an example in a piston plane: Tachometer fails? Cross check fuel flow, manifold pressure and airspeed - subject to mixture control which can be reasonably set using "lean to roughness and enrich" method. Been there, done that. I have had an altimeter fail insidiously slowly, when water got into the static lines (despite redundant ports and properly routing them upward), while in actual near minimums in a non precision approach. (I used GPS altitude cross reference and odd seeming behavior of altimeter needle to diagnose and switch to alternate static.)
Importantly, if the plane is flying straight and level and sufficiently fast, over time this becomes a "feel" and you can tell if something is extraordinary. Maybe not on airliners, but definitely the piston planes I fly a lot and probably the small jets I fly on occasion.
This is why some of these things are mystifying to me. If your engines are set to a certain power and seem to be operating properly, and your attitude is just so, in the absence of unusual meteorological conditions your plane should be performing in a manner consistent to your last experience. If your stall warning is going off, well, maybe the instrument broke. Air France is really scary mystifying.
Look, I am a software engineer so I get it, people can get locked into a misconception about a fault and not step away long/far enough to consider other alternatives. It happens a lot in debugging. But for whatever reason my brain works much faster and more dynamically when shit happens in the left seat of an airplane having problems.