The endless stream of illegal aliens put the lie to this claim.
And the level of hypocrisy in many countries is astonishing. A lot of companies in said countries take advantage of illegal immigrant labor, but nobody thinks about blaming them for the huge number of illegal immigrants.
But I think this discussion is in favor of "some elites". Rather than asking also for industrial development, redistribution, environment protection people are "encouraged" to blame everything on the immigrants. Look at UK. They wanted out of EU to "control their borders", and check how well it went for them in living standards... Probably now they complain their neighbors don't fix the problem for them.
To circle back to the start, everybody has a different opinion about what others should do, so doubt someone telling country X something will improve a lot the outcomes.
To be honest, I would have a different issue with "the civilized countries" (whatever east/west/etc.). They should be a role model, and while they are a bit better than some on the list, they are quite far from what they could be.
So, probably, rather than worry about how bad has it someone hundreds of miles away, try to improve something in the local vicinity.