It's hard to tell who is wrong, I think. I can see both points of view in this situation. There's no perfect child and no perfect parent. Harry feels older than Severus sees him as. He has been trying to learn how to fit into this role of son, but the bottom line is, he's only capable of being the person he's been raised to be- and that person is the opposite of the average child. 

Severus doesn't really know how to deal with misbehavior other than that of a student. He is so used to dealing with wayward teenagers this way, he doesn't see how he could be wrong to be so harsh. He just thinks he's doing what he's always done, and that seems adequate. It's going to take some convincing from others to see any other way.

Thank you for reading and reviewing. :) 

Dumbledore is quite wise, and yes, both parties have good points. One can't really expect Severus to just know how to be a Father to Harry. He has not had much of an example to follow, and all of his past experiences with children has been interacting with students. He doesn't think he is wrong because he is a creature of habit and he's always been a harsh teacher; he's got to grow into his role as a Father, but that's hard to do when Harry is nearing adulthood. He will have to figure out how to be a mentor, rather than a guardian, soon. 

Thank you for reading and reviewing, I hope you enjoy the next update :)