So, explain to readers why I attended college with Black Vets?What you're describing is the systemic racism that made black vets unable to use the GI bill benefits.
Unequal schooling -> black vets being unprepared to use GI bill for college.
Black vets were unable to use the GI bill for home loans. They were stopped by banks, by redlining, by systemic racism in the system. Home ownership was the main way whites were able to accumulate wealth. That was denied blacks leading to the inequity we see to this day.
Why is it I know black Vets living in homes bought using their GI Bill?