]And if this isn't what Darcy wants, why does the narrator say that he does?

We are not sure of that, I still think that JA implys for Lizzy's thoughts, who is very prejudiced against Darcy .

](At least) two reasons. First, in his situation, connections are probably more important to him than to Georgiana in hers. (For example, those connections will be the grandparents, aunts, uncles, etc., to the heir to Pemberley.) Second, I think his main concern for Georgiana is that his (At least) two reasons. First, in his situation, connections are probably more important to him than to Georgiana in hers. (For example, those connections will be the grandparents, aunts, uncles, etc., to the heir to Pemberley.) Second, I think his main concern for Georgiana is that his shy, sheltered sister marry someone who will be kind to her, and who isn't after her money. He gets both of those in Bingley.

] who will be kind to her, and who isn't after her money. He gets both of those in Bingley.

Believe me this is not the way people of high rank think. The connections for the girl may be of more importance than the boy, and do you think that Darcy will leave his sister " his shy, sheltered sister" marry someone with five sisters ,who are probably have the same manners of Charoline?!! impossible I can't imagine that myself. He (Darcy), who "Whatever can give his sister any pleasure is sure to be done in a moment", will not expect to give his sister to anybody beneath his rank.