Ninja wins. Never heard of this so-called "Inverse Ninja-Law" crap, and not even weighing it as a factor in realistic comparison.
By the way, the sword-swinger from the Raiders of the Lost Ark clip would be more like a Warrior than an actual Ninja. A true ninja would never stand there in the great wide open making a spectacle of himself (or more commonly herself). The ninja's sole interests would consist of finding the target, killing the target, escaping if possible (and if not, suicide).