Sounds like you own one and are thinking of selling it? If so, don't mean to pick on your moto .... but ...
that had the newer bodywork and many found it not so attractive. Also the ergos are pretty aggressive (low bars, high foot pegs) but the motor is really fairly mellow. The Yamaha R1 came out in 1998 so if someone wanted a sports bike, way leaned over, high pegs, they wanted a bunch of performance out of it too like the R1 & R6 & others like that.
Then add that it has carbs and not fuel injection, and the irrational fear people have with the belts and desmo valve adjustments ... and the stiff clutch pull and the dry grabby clutch ... and people would think "a 27 year old Ducati with 28K miles on it?" ... so you are narrowing down "who is going to buy it".
Some older guy might have some fond memories of that era they want to relive? But a newer rider? Nope. Just some guy with $4000 wanting a motorcycle? Nope. Even a Ducati fan boy would not want that generation SS.
But if if looks great, has some decent mods, and you don't want too much for it ... you might find an interested party. (Again, sorry for the view point a seller might not want to hear)