Why does Vladek choose Anja over Lucia

I think that Vladek chose Anja and not Lucia, because Lucia was too sticky with him and because Anja was more intelligent and sensitive. However, I think that he chose Anja and not Lucia, because Lucia's family was not really rich (p.17) and Anja's family was rich (p.24). So, even if Vladek said that he enganged her not for her money, I think that, in a little part of himself, he married her for her money.