In the case of Japan, life develops around the train stations indeed, where all the shops and entertainment is, and between those stations are the residential areas, so scooters are perfect here.
In European cities (smaller) it's normally organized in rings, where most things you'd want to do are within the city center, or around large neighborhoods but also in circles (larger). So you can take a train/bus/cycle/scooter to the center, then going to the different places either walking or with the scooter.