No.
The clutch basket is in three parts but two main parts. The basket itself which are the teeth, and then the backing plate which is what is bolted down to the clutch assembly. When the clutch is disengaged and you are walking the bike, the backing plate (the center) spins, and not the teeth.
When the clutch is disengaged and the clutch plate is pressed against the pads, when the bike is moved foward, this causes A) Drivechain to move and B) Crank to move. This is why you can't move the bike forward so easy, because everything is moving including the cranks compression moving against you.
When you disengage the clutch, it allows you to move the bike freely, why? Because ONLY the center (backing plate) is moving. The teeth aren't spinning against the small bevel gear, which in turn spins the crank.
It works opposite. When you disengage the clutch, you can rotate the crank without the bike moving because the small bevel gear is going to spin only against the teeth. This allows you spin the crank over, without the bike moving, because the clutch is disengaged.