Pollution of the Western canon would bring degeneration and anarchy. We come here to the crux of the problem. Out of fear of slipping into chaos, measures are taken to invest authority in the tradition, to better control the way students are educated, to ensure greater conformity, to discourage individual creativity from straying too far from the norm. The overriding concern becomes control. If authorities are multiplied, as when nonwestern or minority voices are given respect, then authority is less centrally in control.
People have more options to exercise individual initiative, to develop their own beliefs and values.
They would be less controlled. Less control is a bad thing. We are obsessed with control. Just like addicts. The control paradigm is a losing proposition, however.