Yup. Most magic swords were Longswords in AD&D when GMs rolled randomly. Which is why most PCs took Longsword proficiency if they could, even though Bastard Sword and Two Handed Sword were better weapons.
I was just pointing out that the weapon could be justified to be any type of sword based on it's history. It doesn't really bother me that it's a Greatsword except that vanilla statted Greatswords are the weakest 2HD weapon.
My opinion is that the WPM stuff should have been raid weapons earned in a raid though. As they are regular quest loot it's hard to justify asking for them to be uberweapons.