"pilots are more likely to believe erroneous instruments rather than their own senses and experience."

The human brain is not setup for 3D dimensions of orientation, unless you can accurately see the horizon it's more than likely that your perception of the planes orientation and vector is wrong than the instruments. In most turbulent situations the brain is wrong and the instruments are right. This is why pilots are trained to fly on instruments only. On most planes the instrumentation system actively and accurately informs pilots that their instruments are broken when they are in such a state.