Every piece of briar is different, therefore you can have two pipes identical in shape and one may smoke hotter than the other. As it is of course then with pipes that are not identical in shape. As far as your question on if something is wrong with the pipe... probably not, and among all of my pipes my Petersons are some of my coolest briars. But as has been mentioned, some blends burn hotter than others. Try different blends in that pipe and find one that doesn't heat up the bowl as much. And check your packing. If your packing it so tight that you have to keep puffing on it to keep it lit (remember, however, relights are ok as long as it's not going out constantly) it's going to get hot. I have a fairly new Stanwell that burns fold and stuffed flakes extremely well, but boy that sucker gets hot if I'm not careful with my smoking cadence, so I have to remember to smoke light and slow with it. But I'm certain with time and just a little more cake buildup (as I keep my cake very thin anyway) the pipe will be a bit more forgiving. It shouldn't be too hard as it's smoked quite often as it's already one of my favorite pipes. If you're smoking mostly virginia blends which can burn hot, try something with burley, or even black cavendish to see if that pipes smokes a bit cooler with those kinds of blends. As a condiment, some burleys or black cavendish are added to a blend to help it burn cooler. Try a Virginia/Burley blend.