I do not want get into discussion about who was right, who was wrong, but regarding all worries about EU's unemployment rates and desire for British Universities....
Well, British universities are not really that desired in EU as some seem to believe.
German and Scandinavian Unis for STEM subjects are the first choice. Humanities are more varied but still UK is not the first country that comes to mind. Law degree form Britain for most Europeans would be useless. Not only because continental Europe is rooted in Roman tradition, but also because the whole approach to teaching law is different. Thus, even international law is done differently. Summer school would be enough to learn basic if needed in their practice on the continent - standard with american law.
Regarding unemployment, what happened in 2004 won't happen again.
When Blair opened the boarder unemployment rate in Poland was around 20%. Now it is lower than in the UK.
Now, the highest rates of youth unemployment are in Spain, Italy, Greece and Sweden. It would be, for many different reasons, easier and more natural for them to go to Germany. The thing you are scared about happened because UK was, back then, the only available destination and the biggest of newly jointed member was in a different place. It was 20 years ago and situation really has changed. In fact, Poland now became a destination for migrants herself.