Depends upon the rear wheel width (among other things).
Your 999 should have come with an OEM 5.5" rear rim and a 190/50 ZR17 fitted (I believe). Why Ducati does this...most of us don't know...but the better tire for a 5.5" rim is a 180.
Not sure what the Honda rear tire width is, but if it is a 5.5" rim, then the same logic should apply.
The 180 should help your Duc corner better because of a better fit, without pinching the tire so that the profile changes.
I am by no means an expert...but this is what I've been told. Others feel free to chime in!