We don't run a bunji on the snuffer line but instead use one continuous line for both functions. This way, when you pull the halyard/sail up, the snuffer line also goes up and takes with it the slack from the halyard going up. There is very little slack line between the two.
The other issue is that you do not want the snuffer line to have any pressure on it (bunji) while the sail is up or it will distort the sail shape.