Unless you are planning to make a living playing a practice pad, you should always practice all of your pad exercises on the drumset as well. Drums not only have a different feel than a pad but there are usually a lot more of them and you need to get your body comfortable moving from drum to drum.
So don’t be one of those drummers who plays a terrific pad but doesn’t know what to do behind the kit! Everything you practice on the pad should be woodshedded on a full kit!