some advantages would be- they need less surface area to create the same amount of grabbing force as an organic clutch, which in turn means it weighs less. -ceramic clutches do not slip like an organic clutch when they get hot which also means your flywheel will last longer.
and also just because it is a ceramic clutch does not mean it is "stiffer", it's just that they usually engage instantly instead of slipping as you let out the pedal, which could be an advantage or disadvantage depending on the terrain. the stiffness in pedal feel will not come from the material of the clutch but rather the pound rating of the clutch fingers.