It’s a well known fact that Ducatis are overgeared to get them through the ride-by noise tests!
I dropped the gearing on my CB500 and on my Monster 696, but just by one tooth at the front (Because it’s the cheapest way of doing it – £15-ish)
And it definitely makes a difference for the better I think on the bikes I’ve had.
I wouldn’t bother faffing with changing both sprockets, just get a 1t smaller front and give it a go! 🙂
(I don’t think what you’re suggesting will make much difference TBH. It’s not as big a change as 1t off the front, and that’s not a massive difference, it just adds a dose of perkiness to the acceleration)