Thanks. It's not clear though that college provides good training in conscientiousness.

It doesn't matter whether they are good at training conscientiousness, as long as they are good at marking it consistently with high grades. If I higher people with BS from Caltech and someone asks me whether I hire them because Caltech is good at training them or good at marking them, my answer is somewhere between "who cares" and "marking them, I don't care how they GOT to be good, just that the Caltech brand means they are good."