I really would love to hear the reasons why educated people voted for leave
I explained my reasons, at length, several times, in previous threads, under different names. But I got tired of being called thick, xenophobic, racist, uneducated, too old to be allowed to vote, and all the other insults that were hurled at Leave voters. So now I just don't bother any more. It's not possible to have a discussion with people who resort to insult rather than listening to alternative opinions.
As for the university educated argument, until the expansion of the mid 1960s, most people didn't have the opportunity to go to university, because there just weren't that many universities. It was only in the mid 1990s that universities expanded to the point that going to university became the norm. And professions such as teaching and nursing required degrees, when they didn't before.
And seeing the standard of written English, and quality of argument, from many people who claim to have, or be studying for, a degree, I wouldn't say that nowadays having been to university is necessarily an indication that someone is better educated or more intelligent than someone who hasn't.