Even though it stops moving, the charge-sea is still inside of that wire. If the flashlight is again turned on and two light bulbs are connected in parallel instead of one, the electric current will have twice as large a value, and twice as much light will be created. And most important, the charge-sea of the battery's wires will flow twice as fast. Zero current means the charges have stopped. Note however that an electric current does not have just one speed.
Charges flow faster in thin wire.
The high current in the lightbulb of a big flash-lantern will be much faster than the tiny current in the thin wires inside a digital watch. If a thin wire is connected in a circuit end to end with a thick wire, it turns out that the charges in the thin wire move faster. This makes sense, it works just like water in rivers. If a huge wide river moves into a narrow channel, the water speeds up. When the channel opens out again downstream, the river slows down again.