The dog house usually refers to the front fenders, radiator support, and hood . Once removed from the truck, the opening at the firewall gives the front sheet metal the appearance of a dog house, closed on 3 sides, open on the the side with a roof overhead.
When you lift the body shell with a hoist, the front sheet metal doesn't have much support. If the fenders are real good, you might be OK, if the fenders are questionable, you may end up with bent fenders. I would remove the dog house. There is usually 3-4 fender to firewall bolts, maybe a couple inner fender bolts, and the radiator support mounts (once the other normal stuff is removed) to remove the dog house as a unit. Gene