DCs got great public transit (relative to other cities in the US) so no way anyone should be expecting a ride unless you offer. You can get to almost anywhere in the city easily via metro and the buses.

Edited to add, as someone also with a car living in the District, no one has ever asked me for a ride anywhere. I’ve noticed most people prefer to walk and/or take metro. I also usually never drive in the city myself - the car is for escaping to outside places and my commute to MD.