If Einhart didn't have a mama or papa raising her normally I think her way of life is perfectly normal. Kids of her age aren't really rationally planning their future. They want to be firemen, police officers, doctors, princesses, artist, actors, whatever. So, this little girl has implanted into her brain a full-bodied image of some past hero plus this hero's wishes and regrets. It's, in my opinion, 100% natural those desires override some other flimsy dream she might have had otherwise, and that would have as soon changed after watching some cool tv show.

However, I'd expect those things change once she hits puberty... After all, at that age you don't want anybody else to tell you what to do. Though after all those years she might have integrated Emperor's personality too much to anymore make a distinction in order to rebel against it.