The rankings are way too broad to be effective, but I think the gist of what Bennett was saying was that the very top schools are the only places where it still makes sense from an ROI perspective to get a liberal arts degree.
He says elsewhere that going to lower-tier schools is where it becomes important to select a "practical" career-related degree, in which case you're not part of the general problem that he was trying to describe.
Getting a degree from a top liberal arts college probably serves the dual purpose of "getting educated" and "getting a degree that translates into a practical career".
Getting a degree in general studies or liberal arts from a state university probably does neither.
And it's not like engineers, science or math majors from any school are missing out on these nebulous skills like "critical thinking" or "learning how to learn". They're just applying those precepts to skills that are needed in the 21st century.