I think the followers only use what they are the best at.
Just a guess, but I think if you give a follower heavy armor when they are always wearing light armor they wont use the heavy, but will switch to the better light armor. If you give them a one handed weapon when they are best at a two, you have to take the two handed from them before they'll use it... But if they use a two handed and give them a better version of what they have, they'll equip the better... More info on this would be cool
So perhaps J'zhargo is best using his own spells rather than any of the staff's you gave him...
I dunno about that. My other followers (Lydia, Erandur, Jenassa, Uthgerd) seemed to use whatever they had that would cause the most damage (highest base damage rating) - I had to take two handed weapons from them to get them to use shields, even if the wiki said they were trained in one handed but not two.
I suppose I could try getting my stuff back from Erandur, and see if J'zhargo would use that, but it seems unfair to take stuff back after I cut him loose... plus its a pain in the ass dismissing one guy, taking on another, grabbing all his stuff, then going and finding the first guy again. By all reasonable standards, the stuff I gave J'zhargo is better anyhow.
Maybe he's holding back on the dual fireball staffs for fear of hurting me... but that's why I'm wearing 90% fire resist gear! I wanted to bring the bomb, and instead I got... sparks.
Silver lining - I can stand there practicing my "Block" skill while J'zhargo whittles the enemy down with sparks (and then moves in and uses his claws when out of Magicka, despite having a legendary, enchanted ebony sword and legendary ebony dagger). Its gone up by 5 points since I took him on. Other followers did their job a bit to well for that to work.
