To an extent, yes. But I would also say learning how to think should continue to explicitly fall under the university umbrella, or at least that particular notion should be extended to a greater degree in university.
From my experiences, too many kids straight out of high school go to university blind in the face of knowledge and don't think for themselves, and the capacity for independent thought (or lack thereof) is a very big issue.
A high school teacher of mine recently posted a fb article of how HS valedictorians are statistically average with where they go with life. Turns out following the rules and memorizing answers isn't great for risk taking behavior.
From my experiences, too many kids straight out of high school go to university blind in the face of knowledge and don't think for themselves, and the capacity for independent thought (or lack thereof) is a very big issue.