Maybe Ginny didn't have any ideas? I don't know if it was canonically proven that Ginny didn't get to name any of her children. Harry doesn't seem that unreasonable, especially as an adult.
Also, I disagree, since there are tons of people in the world who name their children after themselves and those children end up doing the same thing and to me, it might put pressure on the children to live up to expectations that their ancestors had achieved, but overall it's pretty unremarkable.
