We're talking about movement within the European Union, so "willing to relocate to rich Western countries" doesn't make any sense at all. The West already inclu

We're talking about movement within the European Union, so "willing to relocate to rich Western countries" doesn't make any sense at all. The West already includes Europe. All EU countries are reasonably affluent by global standards. Some countries are richer than others, but it doesn't make economic sense to move from a country where you have a job to claim benefits in another one. EU countries aren't obliged to pay benefits to people who have never worked in the country, so your idea that "governments will pay for benefits" is a very simplified view.