Yeah with such small width, it seems abnormal. But it is really suitable for taller people, going in & out is really easy compared to other cars in this segment.
With 13 inches tires profile and such height, the swinging thing is bound to happen. 14 inches profile can be a better choice if you prefer handling over economy. Even this profile (175/65/14 or 165/ 65 or 70 /14) is used in fully-equipped models of WagonR in other countries. e.g., AGS model in Indonesia. The swinging will considerably reduce with bigger tires.