There's reason to do it on the FZ, especially mine.
Spirited cornering in the twisties can sometimes leave me with a loose feeling front end, especially if the road is rough. Add in potholes, the possibility of someone being a hoon and pulling wheelies, and idiots like me who shorten their front forks to fit clip ons onto their FZ and you have a great reason for using a steering damper before you throw track riding into the equation.