> there has been a lot of movement from poorer countriesThere has also been a lot of movement back towards such countries as soon as their wealth levels improved (or UK ones got worse), which happened in no small part thanks to remittance payments. It's the sort of movement you also observe in-country when industries in certain regions do better than others. How many people from Scotland moved to Southern England in the last 100 years?
But that is the whole point of the European Union, which is also expressed in things like the infrastructure and development funds: we promote solidarity and cooperation between neighboring countries, rather than competition that will ultimately result in war.
It's a shame how you only need a couple of generations to forget everything about their history.