You're saying 2 extremely, drastically, different things here. If you are asking academically, Ohlins are a LOT better than Showas. You don't have to look outside Honda's factory team and the fact that they were awful until they quit using their effectively in-house Showas. Look at Pedrosa since that decision.
However, you are also saying you're primarily a street rider. You meant that in terms of you don't need to focus on lap times. But I read it to mean that you are not an expert rider. Suspension changes are fun to make and feel good to have but if you are anything short of an expert, it's a waste of money. Tires can be appreciated by many but suspension changes often make the bike harder to ride fast because they are meant to go along with expert smoothness and very sticky tires rather. Stock suspension that gives you good feedback will actually make you more comfortable, confident, and faster.
You're a smart ass, turningman.
I never asked, academically, if Ohlins are better than Showa. That's obvious.
What I asked is if I ride on the street, will it make much difference?
Unless you bought a Desmosedici or a few other rare bikes, your Ducati is a streetbike that you could ride on the track-- not a track bike you can ride on the street.
(Clearly, as a high-performance bike, many of us do change our parts and orient our setups specifically for the track.)
But I am a street rider and ride hard on the street. Still, unless you have a death wish, a smart street rider will never push it as hard as a track rider because we know there are always unexpected factors such as cars and gravel.
My suspension has to be set up for all different types of surfaces, roads types and varying quality of pavement. That's my application, not putting on Ohlins just for two track days a year.
While everyone else on here understood that, it was clearly a bit too much for you.