It varies per job. If you are really trying to min/max and/or not take really big hits to accuracy a lot of the Primal weapons
are either useless (Dragoon's spear - skill speed is bad compared to Zenith +1, so I hear) or you need items from Turn 5 to make up for the loss in accuracy (Bard's Bow).

I know the Monk, Black Mage, and Warrior weapons are all good. The Bard is good with Turn 5 gear for acc.
I think the Scholar and Summoner are meh. Dragoon is meh. Paladin meh. White Mage is apparently bad.

This is just what I've seen opinion-wise from various people. In the end it's up to you.