Also, if your tires are greasy with prep (any prep), it might be because the prep isn't penetrating the rubber. You may have to refinish your tires to open them up again before applying more prep.
I think of greasy tires as the good oils laying on top of the rubber. Running tires like this is wasting prep - sure it will come off in the first lap or two, but that kart will be a handful during that time, won't build sufficient grip, and thus waste an entire hot lap session most times. And who wants to be wasting prep and/or track time?
With that said, other preps (some PRW's in particular,) can be wet on the grid, or even preferred wet, so as they do not soften the tire, just add enough bite to fire the tire off. These types of preps will not be greasy though, simply wet = big difference.