Another interesting thing I noticed on
https://nces.ed.gov/programs/digest/d12/tables/dt12_112.aspIf you look at the number and percentage graph I linked at the very top, schools with 75% or more students eligible for free or reduced lunch are 70-80% black and hispanic, with only 6.2% white. With that in mind, 45% black students is in high poverty, as well as hispanic. If environment wasn't a factor, that'd mean that nearly 40% of those schools mostly on free lunch are actually in high poverty.
With the data, it can be concluded that almost 60% or more of the 12 million non-white students on free lunch are in high poverty
if anything, if the scope were to shorten, white students would take the brunt of the free lunch punch, with only a few black and hispanic & other students getting it too