All that "extra" tin, flaps, pulleys, etc. that people leave off when doing a rebuild... It's there for a reason. Unless you can prove all those German engineers were wrong to add it, put it back on.
For example, the thermostat flaps on a type IV engine not only open up when the engine gets hot, they also force air through the oil cooler. If they're not on, the air just passes over. Wonder if that's why my engine always ran hot?