If I understand the wiki on assortative mating, it supports your statement. However, in the last couple centuries there have also been greatly increased migrat

If I understand the wiki on assortative mating, it supports your statement. However, in the last couple centuries there have also been greatly increased migrations globally, leading to increased mating across cultures and races. These events will be carried in the gene pool, maybe forever, and repeated. Intuitively, even if they're outliers, these matings will trend the gene pool towards more homogeneity. Is this intuition correct? How do biologists reconcile the views?