I think you're looking at this too literally. They can name it whatever they want and it will be a new weapon specifically for the class.
The point is, just because glad uses swords and daggers doesn't mean they can't later add new classes that can use fencing swords, knifes, etc. The name is just that, a name. The only thing the system locks out, is what it has always locked out, specific weapons are tied to specific classes. If they decided to put in fencer and give it a fencing sword as its class weapon, that is a completely different weapon locked to fencer.