Sure, there's evidence to suggest that most children have figured this out by the age of 3. You could teach them that in a sentence.

But now what? Is that it? Is there no need to talk about white privilege anymore? Can the Robin DiAngelos of the world find something else to do with their time? Do we ever talk about the fact that intelligence or home environment or body shape or sexuality often have a far bigger impact on life outcomes than being white?

Do we stop inculcating a mindest of inferiority amongst black children because we don't talk about the full array of gifts they have, only the way that society sometimes wrongly penalises one aspect of them?

Recognition of a fact is not valuable in the vast majority of cases. Certainly not valuable enough that it's worth shaming and undermining children. If nothing is being, or can be done with that recognition, what's the point?