Yes there is since riding with a slack chain prompt more frequent adjustment of the chain tension,since it will become "too" loose"faster.
In the event of riding SS(not fixed) the engagement angle will be higher since the upper part of the chain will have to be pulled taut before becomming able to transfer the load from front to rear.
This effect is more pronounced when riding with a coaster brake too since it will take a longer time for the lower part of the chain to be pulled taut when braking.
As mentioned the riding surfaces of a road are not as perfect as that of a track,promoting chain deraillment faster.
Plus the fast that city bike components can and are usually of lower roundness,meaning that there will be a more extreme difference between the tightest and lowest tension the chain will have.