In general a stiff link will not cause the problem mentioned. Chainsuck occurs when a link doesnt 'release' from the teeth on the chainwheel. A stiff link will still release. A stiff link will 'click' as it moves through the rear derailleur and will pull the cage forward when pedaling backwards.
If a link is the wrong width it will cause the problem but I dont see that as being an issue in this case.