I think Shantotto's SSB is a staff too. Generally speaking though, yeah, staves are rare these days and they just make Black/White Rods. I remarked on this earlier really; Aerith's Wizard Staff which is a White Mage stick is still somehow considered a rod. Vivi's Oak Staff too, but at least that one has the stats of a Rod so it makes sense. Go figure, Garnet's Storm Staff is a Black Stick, and she was a character in FF9 who used only Rods (and Rackets!), yet they made it a staff.
It makes the inability to use staves a pretty minor downside for the few Black Mages who can't really. Go figure, Rinoa's Record Dive has "can equip staves" on it which would be a perk she finally has on Terra (who gets no such benefit) but given how rare Staves are these days, it'll really only come up in a situation like...well...mind, where in I have Garnet's Storm Staff and it's my only FF9 5* Black Stick.
...this topic made me go through the list of relics, Global and JP, and see how many 5* Staves there are, both in-name and in actuality.
In Name Staves (aka "these are actually rods but their name has "Staff" in it):
Flame Staff (FF1)
Ice Staff (FF3)
Full Metal Staff (FF7)
Striking Staff (FF7)
Wizard Staff (FF7
Prism Staff (FF7)
Oak Staff (FF9)
...interestingly, of the FF7 weapons, I think only the Striking Staff was called by that name in FF7 proper. I believe everything else was called Rod in FF7, which given Aerith's weapon design, seems to make more sense. This could explain why FF7 has so many "in-name only" staves begging the question why they didn't just re-translate them as rods.
ACTUAL Staves:
Rune Staff (Core)
Healing Staff (FF1)
Healing Staff (FF2)
Holy Wand (FF3)
Elder Staff (FF3)
Healing Staff (FF4)
Seraphim Staff (FF4)
Healing Staff (FF5)
Judgment Staff (FF5)
Sage's Staff (FF5)
Power Staff (FF5)
Protector of Life (FF5)
Mace of Zeus (FF5)
Storm Staff (FF9)
Ice Staff (FF9)
Mage's Staff (FF9)
Braska's Rod (FF10)
Jupiter Staff (FF11)
Musk Stick (FF12)
Judicier's Staff (FF12)
Physician's Staff (FF12)
Thyrus (FF14)
White Staff (FFT)
Healing Staff (FFT)
So there's basically one "in-name only" Rod on there in Braska's Rod. Most Staves are White Mage sticks.
Adding to that, the "Black Sticks" on the Staff list are the bolded weapons. That's a total of 4 and of them, one of them is from FF11, which is a realm that basically lacks any meaningful content. To be fair, a number of those Staves do have 100+ Magic, so it's competent w/ Synergy for a Black Mage and can help in that regard. Generally speaking, there's a lot more 5* Rods, and a lot more White Sticks in that list as well. It begs the question of why staves even still exist at this point other than to be a mild restriction on a handful of Black Mages.
