I'm not quite sure I understand your question, but: certainly lower-class Asians have their own issues, but I still don't see anyone can honestly, truly state that anything compares to being enslaved as property for hundreds of years.
You mentioned that many lower class black Americans have no cultural capital regarding the "process of academic achievement, applying to colleges, getting a professional job". I agree that's true, and that a legacy of slavery is an important cause of the problem.
Do you think that the children of uneducated nail salon workers who don't speak English have this cultural capital?
> Do you think that the children of uneducated nail salon workers who don't speak English have this cultural capital?
No, probably not, but I think it's fair to say that 1) the broad societal stereotypes applied to them are perhaps less damaging than those applied to black Americans and 2) the children of the Asian nail salon workers will be more likely to socially engage with the children of Asian-Americans that do have this cultural capital (and thus be more exposed to it) than the lower class black American children will be to the equivalent (if only because the equivalent is much less common.)
Again, these are all issues which need to be addressed and no discrimination is okay. But the initial claim was specifically placing them into a certain hierarchy, which I am reacting against.