I considered that briefly, but honestly I disagree. Class mobility is a pleasant fiction we tell ourselves about, but the data suggest that it is nothing more. Since 1980, the prime time of our current every-goes-to-college education paradigm, social mobility has fallen off a cliff.[1] And frankly, it was never a major feature of society.

For deeper socioeconomic reasons, pretty much everyone in the truly lucrative fields like law and medicine is already quite well-off, and people who graduate from other degrees generally either end up in poorly-paying fields like academia, or else in careers that half a century ago didn't require tertiary education at all.

[1] http://jhr.uwpress.org/content/43/1/139.refs