Perhaps. I'm using Executioner Sword with shield at the moment, and for NM that's more than sufficient. For hell, probably not so much. Then again, the chance to upgrade items to exceptional is much greater in hell, so less "blocking" uniques should be necessary. The biggest difference would be in normal, where exceptional items don't drop. Far greater chance of getting plated belts/greaves/bone helms/rings but missing out on the best damage for weapons, and prismatic rings.
Maybe do one just for normal cow king.
In either scenario, a lot of the run is spent in transit, not doing any killing. Maps with short distances is key. Maybe even with King pack by itself. I've found that Howl doesn't work very well when there are a lot of enemies tightly packed.