I disagree. Historically, postsecondary education might have been limited to the disciplines of academia and focused solely on liberal arts. However, at this point, a four-year degree is an effective prerequisite to 90% of white-collar job. (Irrespective of the actual value of a degree in performing jobs, of course. Obviously, the overwhelming majority of professions don't require four years of institutional training or education to perform. Indeed, I'd wager that most careers don't require academic knowledge beyond that of a seventh grader.)

So, college has been perverted by the labor market into a corollary of the K-12, "career-preparatory" apparatus, and few students enter college in pursuit of actual intelectual stimulation. Most are simply going through the motions to get an entry level job. In effect, college has simply become a funnel from high school to the labor market. We can debate about whether or not this is good, but the fact remains that, given the current post-secondary education landscape, colleges exist to get people jobs and should be measured by that standard.

As for only K-12 being government-funded and thus career-oriented, many if not most students take federal aid of some sort, implicating public funding even for private colleges. It's impossible to disassociate colleges and government money, as federal aid pervades tuition expenditure.