It will in rural areas, but the remaining population is still packing into the major cities. Same thing is happening in Europe with the €1 homes in empty villages.
What about native Germans though? At least here in Finland plenty of natives move away from the capital to smaller bordering towns once they start a family. Advantages are reduced cost of living, and improved safety & schools.
It happens here too, either willingly or not. At some point the city just isn't suitable either because of cost, infrastructure (especially for raising kids) or general unpleasantness.
But for most immigrants it's really hard to feel at home in a small town halfway around the world.