You’re begging the question of whether the people objecting to that phrase are reacting to the surface message or the well-known subtext. Unless you have that data, it’s an error to assume it’s saying anything about anti-white racism.

For example, if you asked me whether it was important to secure a future for white children, I’d react negatively even though I am white because I know that phrasing and the related belief structure is tightly bound to the white supremacist movement. That doesn’t mean I don’t want white children to have a great future - as a father that’d be abhorrent - but I want that for all children and I specifically don’t want anything I say or do to be construed as supporting the kind of people who rally around the 14 words.