Yeah, and heavy swords are good for killing horses and not much else. The guy with the 3 lb long sword will cut you to ribbons before you can swing a big heavy meatcleaver at them.
So... when was the last time you faced someone with a big heavy sword and you with your 3 lb long sword? Different strokes for different folks.
I've faced someone with a heavy spear with a sword, its not pretty. You'd think that they'd be slower with something like that but they aren't. But then people forget the fact that a sword was always a weapon of last resort, well except for those massive claymores