It seems very likely that, once settled, their lives will in fact, be better than before. It could certainly take a while to get to that point, however. The people who may wind up suffering most from the new place will be the children. A report out just today from the Migration Policy Institute reviews the evidence about discrimination against immigrant children in the United States, but it is reasonable to expect that this could happen in Europe as well:
Report author Christia Spears Brown, an associate professor of developmental psychology at the University of Kentucky, examines the literature on discrimination in school settings. Studies show that by elementary school, children of immigrants report being treated unfairly by teachers, receiving verbal insults, being excluded from activities or being threatened with physical harm by peers. By their teen years, immigrants’ children report that they have been graded unfairly, discouraged from joining advanced-level classes and disciplined excessively for the same behaviors as other children.So, the point is that the trauma for immigrants doesn't end when they are finally settled in a place. The cultural problem of dealing with differences, as I've noted before, is going to be an issue for some time to come. It may not be until the third generation--some 50 years from now--that the descendants of these immigrants will finally be part of the "mainstream." In the meantime, there will need to be many kinds of adjustments on the part of immigrants and the host society. With luck, immigrants and the host society collectively will be better off as a result, but it won't be easy.