Levelling-up requires more from everyone – including universities

Universities can only do so much. Although graduates should not be unemployable, I take issue with the statement "But while being employable is the most important outcome of going to university..." since the purpose of true higher education is to admit students to the land of the educated that has the by-product of employability. Going away and living independently is another important element so that the student can make their own choices free of family or other pressures. A university is not just a training school that bolts skills onto an otherwise unchanged person, it is a tranformative entity that frees students to think for themselves.

Given the massive expansion of the HE sector over the last 20 years, shouldn't we already be seeing a positive impact on 'levelling up?' or has this massive expansion actually caused this problem: "Yet they tend to have similar stories to tell of subsequently facing a never-ending job search."