Awesome example. But that's a targeted intervention. Any treatment/course that's provided universally will tend to help most those best able to use it, i.e. the best prepared, most privileged, etc.

This is part of why equality of opportunity can't lead to opportunity of outcome: Differences in ability and character exist and the better the background environment the more they matter. It's like height. When there's substantial variation in nutrition a lot of variation in height can be explained by that but once more or less everyone has adequate nutrition there's still a hell of a lot of variation in height, and it's due to genes and randomness. Environmental influence has been reduced to close to zero by equalization.