Diablo 2 had staves, wands and orbs useless for direct damage, in final fantasy tactics your wands were never going to do the same kind of damage as your swords will...
It's a design decision of the game and frankly not an unique one. That's why mages have spells with 1 turn cool down.
False.
Staves in Diablo 2 spawned generally with bonuses to caster stats (+skills, cast time, etc), and orbs are a class specific item that also spawned with bonuses to sorceress skills (all double-checked via google). Wands only appeared in D3 as weapons, and usually spawn with wizard-themed bonuses (Int, arcane power, skill boosts, etc) plus they directly impact spell damage and duration between damage ticks.
Final Fantasy rods also boosted either Magic Power, Element or a magic spell, going by the wiki.