I'm not sure what Dumbledore's game is here. Is he trying to 'break' Harry to his will? He's certainly not getting on Harry's good side with their last confrontation. Harry believes he is still in prison with Dumbledore the warden and Snape a sadistic guard. I can't tell what Dumbledore is hoping to accomplish. He cannot think he is molding Harry into someone who cares about the magical world. Harry might begin to care about Hermione, but would he fight for that reason or just take her and disappear into the non-magical world?