add in, they’re the basis of many ancient infantry weapons. Knowing how to use one lends itself to spear and polearm fighting.
Also the sword, which may sound really weird, but there’s a surprising amount of techniques that transition over to the longsword with minor modifications. The staff is a very good “starter” weapon. A lot of the lessons you learn there can be adapted for use elsewhere.
Also bruised knuckles. All the bruised knuckles you could ever want can be found in staff training.