For all the disagreements here, look at where people move. Only around 5% of EU citizens live and work in an [edit: EU] country other than their own and a large slice of that is people from the east moving west. Only a sliver is highly skilled work and the majority is semi-skilled or low-skilled. The EU loves to boast about how freedom of movement of people is an important pillar but getting it to work over the long term is still a bureaucratic nightmare.
Meanwhile, the US continues to vacuum up talent from across the world despite an utterly broken immigration system. Heck, even Canada is a top destination for talent due to its proximity to the US.