It really only affects the Great Sword, as that's the only Melee weapon without the icon that there are two of.
There are two Bastard Swords in Wulfsburg. They also do not have the dual wield icons. I put them in my base game deck because there are a few characters that can carry them in their body slots. This at least helps those with Swordmaster a little bit and I didn't want characters to be drawn for play and not have those swords available for their body slots. We put all the characters into a common pool to draw from. (Also, I put Transmutation into my base game deck for the same reason.)