That's a great article. Here's a different article making a similar from a different perspective.
The Upwardly Mobile Barista - The Atlantic
You have to read the whole article to get its meaning but it's worth the read. One of the points is that simply giving access to college doesn't do much good without some guidance of what to do with it. The upper classes have that guidance built into their support network. The lower classes don't, so the realistic access to meaningful college education explains more of the income gap than any other factor, times ten.
The other point of this article is that with middle and upper middle class families able to spend either their money or get government money to cover any cost to complete college, they are inadvertently running up the price of college to the point that people of modest means are priced out of the market for higher education.