When in the palace, Lucia mentions that not long before the events of the game, she and the rest of the Wessons ate dinner there with the Patriarch. I imagine her parents tried to talk her into wearing something revealing and putting her moves on the Patriarch, given the political benefits of that, and the great position it would put her in, but she was adamantly opposed to the idea, and they gave up on it once they understood that. After the dinner, she admitted to them that she actually found him fairly attractive given his age, but still had no interest in being his fourth wife.