The stone he put in its place looked exactly like Jon's stone, except that it wasn't. It was the Spurned Stone.
This stone worked exactly like the original stone, granting an unlimited number of wishes to the person holding it. However once someone lets go of the rock, they will never, ever, have their wishes granted by the stone ever again.
As such after a person relinquishes it, they will have to find another who can act as their wishing-proxy for the stone.
