It would have been good if you spoke to equity. And while you claim that the underlying factors might require more than this post is able to deliver, it is hard to address such issues without looking, in depth at the underlying factors.
I will give you two scenarios:
How would one fit a child from Flint, Michigan, who was poisoned by the government into this? This child would have developed cognitive problems and would not be able to compete on the same level as someone in a more affluent neighborhood. Please don't see this as cherry picking because many inner city schools and schools in poor areas are underfunded and unhygenic. You hear about kids having to study in moldy, musty classrooms. Some of them also have asbestos. Again, we hear about Flint, but Flint is one among many.
One of my friend's child was placed with remedial children because his parents were immigrants and the teachers thought the child was slower even though he passed all the tests with flying colors. Had the mother not investigated, her child would have been at a disadvantage because his peers would have been in more advanced classes.
The mother investigated and found that her child was not the exception. What is your opinion on this in the context of what you wrote?
Thanks for the comment and discussion topics @nicholas83. Are you referring to equity of individuals in access of a resource?
I don't think your examples are cherry-picking at all and speak to some real systemic issues in our nation. Flint is a perfect example that I believe the nation/media has not given enough attention to precisely because of our zeitgeist focus on "equality." Poor white neighborhoods have trouble fitting into these easily-identifiable tropes.
The immigrant scenario, irregardless of what nationality of immigrant, is another aspect that is not easily categorical to identity politics and disrupts exactly who should have dismantled equality (asian-americans for example) or have their "equality" boosted (i.e. african or middle-eastern americans).
In both cases the baseline of liberty should be raised as those conditions greatly hamper a pursuit of happiness, especially in the case of non-consenting children.