White/Asian children can easily outdistance black children because, on average, their parents spend more time, money, and effort giving their children a life experience that includes intellectual activites.
Your statement is not far off the mark, but you've excluded the segment of Black culture that mostly prefers to patronize Black bookstores and attend Black musical and theatrical events. Plenty of these folks will go see things "The Nutcraker" or attend the "main" symphony orchestra, ballet, etc., but they also like culture that reflects who they are.