Oh this is a good idea! The central idea is something that is probably worth doing with a bunch of the BX weapons-- take an underused weapon and give it something unique in addition to some small stat bonuses.
I like to give the weapon-focused stuff a flavorful kind of "ribbon" too -- like something that is only situationally useful but really sells the style as a unique thing people really want to learn. What if, for example, you could forego attacking to spin the staff and block projectiles, or maybe use it to pole vault? Like if you saw someone using this style and couldn't see what dice they rolled, how much damage they did, etc. what would visually tip you off that they're a staff master?
Thanks for posting that, it's definitely giving me something to chew on!