"As someone who has contested with all three (European "broadsword", Katana, and Rapier), I know better. It ain't the weapon, it's the circumstances and, foremost, the relative skill of the users."
As have I. The Katana is no match for a decent European sword. In sword fighting, there are no rules. My first hit would be to your legs and my second would be to your sword hand. After that, my choice as to the order of hits.
Actually, given my choice of armament, I would use both a rapier as well as a 10 to 14 inch dagger in the classic European style. You would be cinnamon toast on a stick.
My reply would be to void the leg shot and cut your advancing wrist, it likely being low in third. Skill would determine which of us pulled off his intention, not the weapon in hand.