[upvotinglurker]

A clearer way of stating it might be not "the euro students value their education more because it's free," but "the euro students value their education more because college attendance is determined by academic status rather than ability to pay. So, they had to work hard at their studies to get into college, and must continue to perform well academically or risk being kicked out."

Whereas in the US, college attendance generally* is determined by ability to pay, and a student who can pay will almost certainly be able to find some college that will let them attend, whether they take their studies seriously ("value their education") or not.

*Of course achievement still matters if you want to get into the most selective institutions ... but I gather you can do that with (a lot) of money, too.