the millions of Poles abroad are uneducated labourers
Not true. Take this report from Ireland based on data from 2009 and 2010 for example, and read page 21 'Educational profile'.
tcd.ie/sociology/news/assets/Polonia%20in%20Dublin%20Report%20I%5 B1%5D.pdf
Quote:
"Only 0.7% had incomplete primary or complete primary education. 49.2% had some form of secondary education, and over half (50.1%) had a third level degree."I was interested in this question, so I dug a little deeper:
eliamep.gr/wp-content/uploads/2009/10/michaela_maroufof_pol ish-migration_en_july09.pdf
Page 11, Education level:
"According to the data of the Labor Force Survey for the 2nd quarter of 2008, the educational level of the Polish immigrants residing in Greece appears to be higher, not only than that of the country's total foreign population, but also than the country's general population. As it can be seen in the Chart 4.1, 86% of the Poles who reside in the country are graduates of secondary education, or higher while the corresponding percentage for the country's total population is 66%."eprints.soton.ac.uk/72026/1/2009_-_New_Polish_Migration_to_the_ UK_-_P_Trevena.pdf
Page 17, Educational profile:
"...the share of highly educated persons is higher among migrants than among the Polish population in general, and in the case of migration to the UK, self-selection according to educational level is particularly strong".Looks as if exactly the opposite has happened: not the uneducated left Poland after the accession, but the highly skilled risk takers.