Burnt cheese is awesome. Like the sides of Lasagna, the best part. It adds flavor, not just a cheese flavor but the caramelization of the sugars in the cheese add to the depth of flavor of the cheese.
Hell YES! Especially Nutella Gelato. When I was in Italy, I had to stop in every different Gelato shop to get some, couldn't pass it up. I also make a homemade icecream and sometimes use Nutella. Love the stuff.