You're confusing educated with "educated". Proximity to the university system breeds pro-EU attitudes because the EU enforces a similar ideology in Europe to that found in universities. There's however plenty of people who are educated in the sense of having knowledge, skills, but who aren't close to the university system, who dislike the EU and voted against it.
Arguably the practice of conflating university degrees with education is harmful. Increasingly universities seem to focus on anything but education.
Arguably the practice of conflating university degrees with education is harmful. Increasingly universities seem to focus on anything but education.