I pop up my hood after a run too. But it's not as much as to cool the engine and battery quicker as to get a good engine inspection with a strong flashlight. This practice over the years on all my cars has allowed me early detection of failing belts, coolant leaks on hoses, split radiator cap rubber gasket, cracked radiator, leaking transmission shifter rod O-ring, bad motor mount, and leaking cylinder head gasket.