What SE should implement with these weapon is Stats that go with the job's strength. If one of WAR main stats is STR and Axe is the main weapon, then put both together. Don't add something that is not useful let's say "MND" to a weapon that is only used by WAR, and vice versa with other jobs. It makes the weapon unusable.

This is just an example. I've seen it with gear that can only be used by a certain jobs and have stats that doesn't have a thing to do with that job's stats.