The term white supremacy is historically accurate as this is term that white conservatives used to describe themselves from the 1870s to the 1950s. They did so openly and without hesitation. Many of the white politicians concentrated in the 15 region of the South continually repeated it without shame and hesitation.
It is a term that describes this particular group that existed starting in the 1650s or so in the Carolinas and Virginia, and spread by making and copying each other's anti-negro laws that made the system of 'inferiority' and white 'superiority' as the foundation of state and local governments explicitly until 1865.
Loud groups of white and black Northerners before 1865 were very outspoken and against the Southern 'planters' and their laws.
So, it would be hard to eliminate a phrase that represents such bitter division and one that these southern 'planters' then used continually to label themselves with to carry on their radical white racist traditions. I am not one of them, and I don't think many (or a good amount of whites) are. But it had deep historical significance and occurs in the historical texts. Their history needs to be recognized in order to erase their practices.