BluePat, SammyK...
After the yeast is pitched, there is absolutely no reason to stir most kits, and that's what the instructions say. However, it is necessary to stir gently (as the Cellar Craft instructions said) kits with stuff (oak tea bags, grape skins, whatever) floating on the surface. I don't like to call it stirring, but rather turning over the floating stuff to keep it wet.
Prior to pitching the yeast, the kit should be stirred aggressively for a number of reasons including mixing the kit/water combo, mixing the bentonite, stirring in some oxygen.
BTW, many kit wine makers stir during fermentation. It doesn't seem to cause any problems. For me, it's just something that doesn't really need to be done.
Steve