I suspect in that case it has to do with something else, like whether they're supposed to admire them? Like there are plenty of people who will say "Why should I admire Harry as a hero when he just strikes me as a lazy kid that the world revolves around?" but then turn around and say how much they think Snape is a great hero. Both have flaws, but the combo of flaws and the way things work out for one character makes them hate them, and in the other they love them.

I'd say Harry kind of straddles the line at time. He's not the most powerful wizard ever, he remains pretty ordinary, but in other ways he is identified as being special.