It would be dangerous to assume that the underfunded infrastructure is an accident, though.

I’ll be pleasantly surprised if the EU and its members don’t fumble this opportunity (both for themselves and for the scientists). Many EU countries are having a resurgence of anti-immigration sentiments and e.g. in Germany the immigration bureaucracy was already extremely awful before the recent shift to the right - it’s one thing to be shitty and stupid about refugees, but by what I hear from friends who have personal experiences it’s pretty bad for highly qualified people, too.